Recently Active Trignometry Questions

Q1 If roots of x3-px2-r=0 are tanα,tanβ,tanγ ,find value of sec2α.sec2β.sec2γ I did by converting secx into tanx and then using equation to solve ......any better method ?? Q2 Prove that sinx/cos3x + sin3x/cos9x + sin9x ...

\sum_{r=0}^{9}{\left(-1 \right)^r\cos^{10}\frac{r\pi}{10}} any short solution using complex? ...

If x, y \varepsilon ( 0, \pi ) and (sin 3 x + sin 4 y) + 3 cosec x + 4 cosec y - 9 =0, then no. of solutions of the equation sin x sin y = 1/2 in ( 0, \pi ) is A) 0 B) 1 C) 2 D) infinite ...

Number of solutions of the equation \mid x-1\mid + \mid x\mid + \mid x+1\mid = \mid sinx\mid + \mid cosx\mid is, A) 1 B) 0 C) 2 D) 4 ...

\\\texttt{Given\; that\;} \\H_k=\frac{k(k-1)}{2}cos\left ( \frac{k(k-1)\pi}{2} \right )\\\texttt{Find \;teh\; value}\; of\\\;H_{19}+H_{20}+H_{21}......H_{98} try it..for practice ...

ses x - cos x = K1 cosec x- sin x = k2 the eliminant of x between the equation is a) ( K22*K1)2/3 + (K2*K12)2/3 =1 b) K22 + K12/K22 = 2 c) K12/3*K22/3(k12/3 + K22/3) = 1 d) K1*K22 + k2*K12 = 2 ...

Find the length of internal angle bisector CF. A) 2ab/a+b cos (C/2) B) a+b/2ab cos (C/2) C) sin (C/2) D) none of these. Plzz post the solution too.. ...

find the angles and the side lengths of the pedal triangle of triangle ABC ....a ,b ,c as usual side lengths of triangle ABC with angle A B and C **EDITED** LEAVE IT I GOT IT ...

In a triangle ABC, cos2A+cos2B+cos2C=1. Then the triangle is a)right angled b) obtuse angled c)acute angled d)equilateral ...

Number of solution(s) of the equation cos^{-1}(e^{x}) + sin^{-1}(kx^{2}-2)=\frac{\pi }{2},k>0, is A)0 B) 1 C) 2 D) infinite ...

If A>0 , B>0 and A+B=∩/3 , then the maximum value of tan A tan B is a) 1/6 b)1/3 c)1/2 d)1 ans b) .............solve it ...

The set of values possible of θ in [-Π,Π], such that 1-sin θ / 1+sin θ is equal to sec θ- tan θ is a)[0,Π/2] b)[0,Π/2)υ(Π/2,Π] c)[-Π,0] d)(-Π/2, Π/2) ans d ...

If cos4θ.sec2α, 1/2 and sin4θ.cosec2α are in AP, then cosec8θsec6α , 1/2, sin8θ.cosec6α are in a)AP b)GP c)HP d)none ans a) ...

tan2 (pi/7) + tan2 (2pi/7) + tan2 (3pi/7) ...

Q1. 18tan^{16}\frac{\pi }{18} - 816tan^{14}\frac{\pi }{18} + ... - 816tan^{2}\frac{\pi }{18} = _____ Q2. If ABC is a triangle and cot(A/2), cot(B/2), cot(C/2) are in GP, then minimum value of cot(B/2) is _________ Q3. Prove t ...

please prove these identities : $ \sin (\frac{\pi}{2m})\sin (\frac{2\pi}{2m})\sin (\frac{3\pi}{2m})\dots\sin (\frac{(m-1)\pi}{2m}) =\frac{\sqrt{m}}{2^{m-1}} $ \sin (\frac{\pi}{4m})\sin (\frac{3\pi}{4m})\sin (\frac{5\pi}{4m})\ ...

*Image* This question can be solved by using AM>=GM. i JUST WANT TO KNOW THAT IN WHICH TYPE OF QUESTIONS SHOULD WE USE THIS CONCEPT? ...

Number os solutions of the eqn tan x+ sec x= 2cos x , lying in the interval [0,2∩) is a) 0 b)1 c)2 d)3 ...

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The least value of 9tan2∂ +4cot2∂ is a) 13 b)5 c) 0 d) none of these ans. d ...

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For all values of x and y, sec2t = 4xy/(x+y)2 will be true if and only if a) x+y \neq 0 b) x=y , x \neq 0 c) x=y d) x \neq 0, y \neq 0 Ans b ...

find value of sin^{-1}(sin(2010))= ...

1.find min value of:secA+secB+secC where A+B+C=PI. ...

let teh 3 sides of a triangle be integers l,m,n respect...satisfying l>m>n and \left\{\frac{3^{l}}{10^{4}} \right\}= \left\{\frac{3^{m}}{10^{4}} \right\}= \left\{\frac{3^{n}}{10^{4}} \right\} wer {x} is fractional part ...

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evaluate- cot^{2}\left(\frac{\pi }{11} \right)+cot^{2}\left(\frac{2\pi }{11} \right)+cot^{2}\left(\frac{3\pi }{11} \right)+cot^{2}\left(\frac{4\pi }{11} \right)+cot^{2}\left(\frac{5\pi }{11} \right) ...

Q1 If tan-14=4tan-1x then x5-7x3+5x2+2x+9870 is equal to ? ...

2\sqrt{2}sin10[\frac{sec5}{2}+\frac{cos40}{sin5}-2sin35] calculate without using trigo tables ...