List of top Mathematics Questions on Trigonometry asked in Bihar Board X

If \( a \cos \theta + b \sin \theta = 4 \) and \( a \sin \theta - b \cos \theta = 3 \), then the value of \( a^2 + b^2 \) is:
If \( \sin(20^\circ + \theta) = \cos 30^\circ \), then the value of \( \theta \) is:
If in \( \triangle ABC \), \( \angle C = 90^\circ \), then \( \sin(A + B) \) is:
If \( \tan \theta = \frac{3}{4} \), then \( \sin \theta \) is:
Evaluate \( \dfrac{\sin^{2}(90^\circ-\theta)+\sin^{2}\theta}{\csc^{2}(90^\circ-\theta)-\tan^{2}\theta} \).
If \((\tan\theta+\cot\theta)=6\), then the value of \(\tan^{2}\theta+\cot^{2}\theta\) is
If \(\sec\theta+\tan\theta+1=0\), then the value of \(\sec\theta-\tan\theta\) is
If \(\sin\theta=\dfrac{\sqrt{3}}{2}\), then the value of \(\csc\theta+\cot\theta\) is
If \(\sin\theta=\cos\theta,\ 0^\circ\le \theta\le 90^\circ\), then the value of \(\theta\) is
\(\displaystyle \frac{\sin 30^\circ+\cos 45^\circ-\tan 60^\circ}{\cot 30^\circ-\sin 45^\circ-\cos 60^\circ}=\)
\(\tan30^\circ\cdot \sin30^\circ\cdot \cot60^\circ\cdot \csc30^\circ=\)
If \(\tan\theta=\dfrac{15}{8}\), then the value of \(\sin\theta\) will be
Simplify \(1-\sin^{4}\theta\):
If \( \sin 48^\circ = p \), then the value of \( \tan 48^\circ \) is:
If \( \tan 27^\circ \cdot \tan 63^\circ = \sin A \), then the value of \(A\) is:
Evaluate \( \dfrac{\cos 60^\circ + 1}{\cos 60^\circ - 1} \).
If \( \dfrac{A}{5} = 12^\circ \), then the value of \( 3\csc^{2} A \) will be:
Evaluate \( \sin 54^\circ - \cos 36^\circ \).
Evaluate \( \cos 1^\circ \cdot \cos 2^\circ \cdot \cos 3^\circ \cdots \cos 90^\circ \).
The value of \( \dfrac{\cos 37^\circ}{\sin 53^\circ} + \dfrac{\cot 34^\circ}{\tan 56^\circ} \) is:
Evaluate \(2(\sin 45^\circ - \cos 45^\circ)\).
The value of \( \csc^{2}\theta - \cot^{2}\theta \) is: