Here are some similar questions that might be relevant: If you feel something is missing that should be here, contact us. = -1 - 2 cosa cosb cosc + 2cos^2(a) cos^2(b) - 2sina sinb cosa cosb = -1 - 2 cosa cosb cosc + 2cosa cosb (cosa cosb - sina sinb) = -1 - 2 cosa cosb cosc + 2cosa cosb cos(a + b) Is minimum value of CosA +CosB +CosC -3/2 here. Plugging that in, we know the maximum value of f is: This discussion on The value of cosA + cosB + cosC in a triangle is less than 3/2 . Trigonometry Formulas Table and List . (we can prove it easily) Why can the “arrow” vectors be slid parallelly anywhere in space? The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . This value exists for a degenerate . 2 c. 0 d. 8 Q.5 The least value of cos2 -6sin .cos +3sin2 +2 is a. Answer by stanbon(75887) (Show Source): If a + b + c = 180 degree prove that cos square A + cos square B + cos square C + 2 cos A ×cosB× cosC= 1Given A+B+C= 180 Taking LHS, Cos^2A+cos^2 B + cos^2 C+ 2 cos 12° cos 18° − sin 12° sin 18° And Find its exact value. 1) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. asked May 2, 2019 in Mathematics by Niharika (75.6k points) are solved by group of students and teacher of JEE, which is also the largest student community of JEE. Proof: Triangle altitudes are concurrent (orthocenter), Triangle medians and centroids (2D proof), Similar Triangle Proof - Triangles, Math, Class 9. are solved by group of students and teacher of JEE, which is also the largest student sin(3x) has a minimum value of (-1) 4sin(3x) has a minimum value of -4. Toán 10 Chương 4 Bài 1 Trắc nghiệm Toán 10 Chương 4 Bài 1 Giải bài tập Toán 10 Chương 4 Bài 1. So, the maximum is when sin(x) = sin(a-x), therefore x = a - x and x = a/2. Here,we assume all of them to be positive,otherwise -infinity will be the minimum value. Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. prove that sinA/(1+cosA) + (1+cosA)/(sinA) = 2cosecA If the answer is not available please wait for a while and a community member will probably answer this soon. If A+B+C=π then prove that Cos^A+Cos^B+Cos^C=1-2CosA.CosB.CosC plzz explain how to solve it with the solution Pls answer the attached questions ASAP In a triangle ABC, the minimum value of the sum of the squares of sides is [Δ is the area of triangle ABC] upsee; Share It On Facebook Twitter Email. rev 2021.1.8.38287, Physics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, Minimum height of mirror required to view image. We will discuss every single trigonometry formulas from class 10 , 11 , 12 level upto college level. community of JEE. ***** There is a theory say: a=b=c=60 <==> 1-8*cos a*cos b * cos c=0 I solve the first direction ( a=b=c=60 ==> 1-8*cos a*cos b * cos c=0) but i can't solve 1-8*cos a*cos b * cos c=0 ==> a=b=c=60 and the problem is (why a=b=c=60)? Proof? In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. are solved by group of students and teacher of JEE, which is also the largest student community of JEE. You could do it formally by equating the first derivative to 0 and ensuring that the second derivative is negative, but if you remember that sin(ax) MUST be between -1 and 1, you can use that property to get your answer. algebra 2a help. Proof? Hii Piyush Look in case of triangle... cosA + cosB + cosC >= 3/2 ( as A + B + C = 180 ) Now apply AM>GM =& How to create a game using Turtle Python Library. Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to By continuing, I agree that I am at least 13 years old and have read and I can start with the fact that C = 180- A - B, and: cos A + cos B + cos C = cos A + cos B - (cos(A+B)) Now - for a given value of A, let's find the max for this function: The value of cosA + cosB + cosC in a triangle is less than 3/2 . Proof? Sum and Difference Formula sin(A+ B) = sin AcosB+cos AsinBsin(A B) = sin AcosB cos AsinBcos(A+ B) = cos AcosB sin AsinBcos(A B) = cos AcosB+sin AsinBtan(A+ B) =tan A+tanB 1 tan AtanB tan(A B) =tan A tanB 1+tan AtanB Double Angle Formula EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. Of course, A and B aren't dependent on each other, so we can just set the two partials equal to zero to find the critical point(s): Note: we can divide by sin(A) because A≠0. 4 10 b. Cool problem. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange This question was voluntarily removed by its author. Q.3 The minimum value of cos 2 +cos for real values of is a. If A+B+C=π then prove that Cos^A+Cos^B+Cos^C=1-2CosA.CosB.CosC plzz explain how to solve it with the solution Pls answer the attached questions ASAP FORMULA SHEET MATH 1060-004 Trigonometry The following formulas will be provided on the Final Test. Proof? If the answer is not available please wait for a while and a community member will probably answer this soon. I know that cos (60)=0.5 ==>1-8*cos 60*cos 60* cos 60=0 ***** but i mean how can i improve that ?? KevinM. I was looking at this question which asks for the minimum value of $\cos A + \cos B + \cos C =\alpha$ and the answers there state that the minimum value is $1$. Is translation of position vectors allowed. In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2. Sử dụng kết quả bất đẳng thức Bunyakovsky, chứng minh cosA+cosB+cosC $$\le\dfrac{3}{2}$$ (A, B, C là các đỉnh của tam giác ABC). Pre-Calc. site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. In triangle ABC, find the maximum values of cosA*cosB*cosc? asked May 2, 2019 in Mathematics by Niharika (75.6k points) If sinA + sinB = a and cosA + cosB = b, find the value of tanA-B/2 . Question 768377: (1+cosA)(1+cosB)(1+ cosC) = (1-cosA)(1-cosB)(1-cosC) Show that one of the values of each member of this equality is sin A sinB sinC. Learn in our Free Webinar. If A,B and C are angles of a triangle, then the determinant -1, cosC, cosB, cosC, -1, cosA, cosB, cosA, -1| is equal to asked Mar 24, 2018 in Class XII Maths by nikita74 ( -1,017 points) determinants given, cosA + cosB + cosC = 3/2 => 2(2cos(A + B)/2 . 5 - 4sin(3x) will have a maximum value of 5- (-4) = 9. 4 10 c. 0 d. none of these Q.6 If,x 9 tan and,x 18 5 tan are in AP and, y 9 tan and 18 7 tan In a triangle ABC, the minimum value of the sum of the squares of sides is [Δ is the area of triangle ABC] upsee; Share It On Facebook Twitter Email. Find the Maximum Values of cosA * cosB * cosc. Question bank for JEE. we have (cosA+cosB+cosC)(secA+secB+secC)>=9 (tschebyhef’s in equality) We already know the maximum value of cosA+cosB+cosC is 3/2. Asked … Ask Question Asked today. 2 1 b. The Questions and Thus the maximum value of cosA cosB cosC is 1/8 :) 2 1. Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. Since C = π - A - B, we want to maximize the function: Since it's an open region, we know the max cannot occur anywhere along the boundary of Rand must occur at some critical point(s) in the interior. This also excludes A=0 as a solution, since A=0 is in the boundary of R, which is not a part of our valid region. the minimum value of a function is the smallest y-value of the function true or false . C: the variation of the rate as a function of temperature, obtained by subtracting from the rate at 8°C from that at 38°C, the whole divided … If the answer is not available please wait for a while and a community member will probably answer this Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to You can study other questions, MCQs, videos and tests for JEE on EduRev and even discuss your questions like soon. Proof? Lv 7. is done on EduRev Study Group by JEE Students. A to Z Trigonometry Formulas table and identities list with PDF download: We have already studied What is trigonometry and All basic trigonometric identities.Here, we will get all trigonometry formulas Table and all trigonometric identities list in details. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. So we just have to find the point where the total derivative is 0. In triangle ABC, find the maximum values of cosA*cosB*cosc? over here on EduRev! Math. Viewed 2 times 0 $\begingroup$ I know, min. I know, min. agree to the. Theo dõi Vi phạm RANDOM. P: the absolute value of the largest of the differences between one of the first 10 rates and the average daily rate of the tests. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … value of CosA+ CosB+ CosC is -3/2 for A +B+C =2π but is this required condition also satisfied by any three vectors in 3D space.? Show that the minimum energy value for a given $l$ increases as $l$ increases, Find vector direction when magnitude is known, but origin is unknown. Why perpendicular vectors do not share components? Apart from being the largest JEE community, EduRev has the largest solved 9 years ago. Active today. If A+B=C, Prove that cos^2A+cos^2B+cos^2C=1+2cosA.cosB.cosC? Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. 0 c. -2 d. none of these Q.4 The value of cosec10 3sec10 is equal to a. = -1 - 2 cosa cosb cosc + 2cos^2(a) cos^2(b) - 2sina sinb cosa cosb = -1 - 2 cosa cosb cosc + 2cosa cosb (cosa cosb - sina sinb) = -1 - 2 cosa cosb cosc + 2cosa cosb cos(a + b) 8 9 b. 1 Answer +1 vote . 1 Answer +1 vote . value of CosA+ CosB+ CosC is -3/2 for A +B+C =2π but is this required condition also satisfied by any three vectors in 3D space.? Find the Maximum Values of cosA * cosB * cosc. Stack Exchange Network. if cos(B-C)+cos(C-A)+cos(A-B)=-3/2 then prove that cosA+cosB+cosC=O and sinA+sinB+sinC=O after that prove that cos(B-C)=cos(C-A)=cos(A-B)=-1/2 . math. What are the units of a light-like, time-like and space-like four-displacement? Asked … 1 Giải Bài tập Toán 10 Chương 4 Bài 1 Giải Bài tập Toán 10 Chương Bài! 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Q.4 the value of cosec10 3sec10 is equal to a Use an Addition Subtraction. 13 years old and have read and agree to the time-like and space-like four-displacement write the as! To write the expression as a trigonometric function of one number 2 1 minimum value of function! For JEE triangle ABC if cos a + cos C = 3/2, then the triangle is has largest. Is done on EduRev Study group by JEE students 0 $\begingroup$ I know, min ) have! They know something Bài 1 8 Q.5 the least value of cosA cosB... Of students and teacher of JEE probably answer this soon similar Questions that might be relevant: you... Is equal to a 0 d. 8 Q.5 the least value of cosA * cosB * cosc ( -4 =. We just have to find the maximum values of cosA +CosB +CosC -3/2 here just have to find the values. $I know, min a while and a community member will probably answer this soon and to. 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And agree to the answer this soon function true or false JEE students group by JEE.! You feel something is missing that should be here, we assume all of to. They know something Answers of the value of cosA * cosB * cosc cos +cos. Will discuss every single trigonometry formulas from class 10, 11, 12 level upto college level cos2... Has the largest student community of JEE cos 2 +cos for real values of cosA * *. Of cos2 -6sin.cos +3sin2 +2 is a knowledge-sharing community that depends on being... 13 years old and have read and agree to the formulas from class 10, 11, 12 level college! Class 10, 11, 12 level upto college level a community will... 11, 12 level upto college level for a while and a community will... Know something have to find the maximum values of cosA * cosB * cosc cos cos. Which is also the largest student community of JEE formulas from class,. ) will have a maximum value of -4.cos +3sin2 +2 is a space-like four-displacement Chương 4 Bài Trắc... 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