Trigonometric F...

The value of \(\cos ^{2} 15^{\circ}-\cos ^{2} 75^{\circ}\) is:

Find the general solution of the equation \(\sin 2 x+\cos x=0\)

Evaluate the expression: \(\sqrt{\frac{1+\cos \theta}{1-\cos \theta}}=?\)

If \(\operatorname{cosec} \theta-\cot \theta=\sqrt{3}\), then the value of \((\tan \theta+\sin \theta)\) is:

The expression \(\frac{\cot x+\operatorname{cosec} x-1}{\cot x-\operatorname{cosec} x+1}\) is equal to:

If \(2 \sin ^{2} A+3 \cos ^{2} A=2\), find the value of \((\tan A-\cot A)^{2}\) where, \(\sin A>0\)

If \(A+B=90^{\circ}\), then what is \(\sqrt{\sin A \sec B-\sin A \cos B}\) equal to ?

Evaluate:

\(\frac{\cos x-\sin x+1}{\cos x+\sin x-1}\)

Suppose \(\sin 2 \theta=\cos 3 \theta\), here \(0<\theta<\pi / 2\) then what is the value of \(\cos 2 \theta ?\)

Find the principal solution of the equation \(\tan x=-\frac{1}{\sqrt{3}}\)?