Recent questions tagged trigonometry

If $\{ (2 \sin \theta – \cos \theta) / (\cos \theta + \sin \theta) \} = 1,$ then the value of $\tan \theta$ is :$\frac{1}{3}$$\frac{1}{2}$$2$$3$

If $ \ Sinx+Sin^{2} x=1$ then $ \ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$ equals to :$0$$-1$$1$$2$

$ \sin^{-1}\left [ \frac{3}{5} \right ] + \tan^{-1}\left [ \frac{1}{7} \right ]=$$\frac{\pi }{4}$$\frac{\pi }{2}$$ \cos^ {-1} \frac{4}{5} $$\pi$

If $\theta$ is an acute angle and $\tan\theta+\cot\theta =2$, Find the value of $\tan ^{7}\theta +\cot ^{7}\theta$.$-2$$1$$2$$0$

The expressions $\dfrac{\tan A}{1-\cot A}+\dfrac{\cot A}{1-\tan A}$ can be written as:$\sin A \ \cos A+1$$\sec A \ cosec A+1$$\tan A+ \cot A+1$$\sec A +cosec A$

If $x=\cos1^{\circ} \cdot \cos2^{\circ} \cdot \cos3^{\circ}\dots\cos89^{\circ}$ and $y=\cos2^{\circ}\cos6^{\circ}\cos10^{\circ}\dots\cos86^{\circ}$ then what the integer ...

If $cosec\theta-\sin\theta=1$ and $\sec\theta-\cos\theta=m$, then $l^{2}m^{2}(l^{2}+m^{2}+3)$ equals to:$1$$2$$2 \sin\theta$$\sin\theta \cos\theta$

The number of the real roots of the equation $2\cos (x(x+1))=2^{x}+2^{-x}$ is$2$$1$infinite$0$