List of top Mathematics Questions on Trigonometric Identities asked in JEECUP

If sin θ + cos θ = √2, what is the value of sin θ · cos θ?
The value of \( \frac{\sqrt{1 + \sin x}}{1 - \sin x} \) is:
\(\sin(-\theta)\) is equal to
If \(\sin \theta = \frac{1}{\sqrt{2}}\), then the value of \(3 \sin^2 \theta - 4 \sin^3 \theta \cdot \cos \theta\) is
The value of \(\csc^2 67^\circ - \tan^2 23^\circ\) is equal to
\(\cos 75^\circ + \sin 75^\circ\) is equal to
The value of \(\tan \left(\frac{\pi}{4} + \theta \right) \cdot \tan \left(\frac{3\pi}{4} + \theta \right)\) is
If \(\cos A = \frac{1}{7}\) and \(\cos B = \frac{13}{14}\), then \(\cos (A - B)\) is
If tan \(A = \frac{1}{\sqrt{3}}\) and tan \(B = \sqrt{3}\) then \(\cos A - \cos B - \sin A \cdot \sin B\) will be equal to
If \( \tan \theta + \sin \theta = m \) and \( \tan \theta - \sin \theta = n \), then the value of \( m^2 - n^2 \) is:
If \( \sin x + \sin^2 x = 1 \), then the value of \( \cos^2 x + \cos^4 x \) is:
\(\tan 3A - \tan 2A \cdot \tan A\) is equal to: