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

Prove that \( \frac{\sec\theta - \tan\theta}{\sec\theta + \tan\theta} = 1 + 2\tan^2\theta - 2\sec\theta\tan\theta \)
Prove that \(\tan 7^\circ \cdot \tan 60^\circ \cdot \tan 83^\circ = \sqrt{3}\).
Prove that \(\tan 9^\circ \cdot \tan 27^\circ = \cot 63^\circ \cdot \cot 81^\circ\).
If \(\cos A = \frac{4}{5}\), then find the values of \(\cot A\) and \(\csc A\).
Prove that \(\sqrt{\frac{1+\cos\theta}{1-\cos\theta}} = \frac{1+\cos\theta}{\sin\theta}\)
If \(\tan\theta = \frac{5}{12}\), then find the value of \(\sin\theta + \cos\theta\).
If \(\sin 3A = \cos(A - 26^\circ)\), where 3A is an acute angle, then find the value of A.
\(7 \sec^2 A - 7 \tan^2 A =\)
If \(x = a \cos \theta\) and \(y = b \sin \theta\) then \(b^2x^2 + a^2y^2 =\)
The value of \((\sin 30^\circ + \cos 30^\circ) - (\sin 60^\circ + \cos 60^\circ)\) is
\(1 + \cot^2 \theta = \)
If \(\cos \theta + \cos^2 \theta = 1\) then the value of \(\sin^2 \theta + \sin^4 \theta\) is
\(\frac{1 + \tan^2 A}{1 + \cot^2 A} = \)
\(\tan 10^\circ \tan 23^\circ \tan 80^\circ \tan 67^\circ = \)
If \(\cos \theta = x\) then \(\tan \theta = \)
\(1 - \cos^4 \theta = \)
If \(\tan 25^\circ \times \tan 65^\circ = \sin A\) then the value of A is
\(\sin(90^\circ - A) = \)
If \(\alpha = \beta = 60^\circ\) then the value of \(\cos(\alpha - \beta)\) is
If \(\theta = 45^\circ\) then the value of \(\sin \theta + \cos \theta\) is
If \(A = 30^\circ\) then the value of \(\frac{2 \tan A}{1 - \tan^2 A}\) is
If \(\tan \theta = \frac{12}{5}\) then the value of \(\sin \theta\) is
\(\frac{\cos 59^\circ}{\sin 31^\circ} \times \frac{\tan 80^\circ}{\cot 10^\circ} = \)
\(\tan 30^\circ = \)
\(\cos 60^\circ = \)