Question Text
Question 2 :
value of $ \displaystyle (\cos \Theta +\sin \Theta )^{2}+(\cos \Theta -\sin \Theta )^{2} $ is
Question 5 :
If $3\left( \sec ^{ 2 }{ \theta } +\tan ^{ 2 }{ \theta } \right) =5$, then the general value of $\theta $ is -<br><br>
Question 6 :
The general solution of $\tan x - \sin x = 1 - \tan x \sin x$
Question 7 :
If $0\le x\le 2\pi $, then the number of solutions of the equation $\sin ^{ 6 }{ x } +\cos ^{ 6 }{ x } =1$ is
Question 8 :
Number of solution(s) of the equation $\displaystyle 4. \,16^{\sin^{2}x}=2^{6\sin x,}, $ in $[0,2\pi],$is
Question 9 :
<p>The number of solutions of the equation $8{\tan ^2}\theta + 9 = 6\sec \theta $ in the interval $(\frac{-\pi}{2}, \frac{\pi}{2})$</p>
Question 10 :
Solve for $x, (- \pi \leq x \leq \pi)$, the equation $2 (cos x + cos 2x) + sin 2x (1 + 2 cos x) = 2 sin x$
Question 11 :
Given $\displaystyle 2y\cos \theta =x\sin \theta \: \: and\: \: 2x\sec \theta -y cosec\theta =3$ then the value of $\displaystyle x^{2}+4y^{2}$ is equal to
Question 12 :
$\displaystyle \frac{\sin 3 \alpha}{\cos 2 \alpha} < 0$, if $\alpha$ lies in