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

\(\sin^2 90^\circ - \tan^2 45^\circ = \)
Which of the following values is equal to 1 ?
\(\cos^2 A (1 + \tan^2 A) = \)
Evaluate \( \frac{\sec(90^\circ - \theta) \csc\theta - \tan(90^\circ - \theta) \cot\theta + \cos^2 25^\circ + \cos^2 65^\circ}{3\tan 27^\circ \tan 63^\circ} \).
If in \( \triangle ABC \), \( AB = 13 \, \text{cm} \), \( BC = 12 \, \text{cm} \), and the value of \( \angle C \) is:
Evaluate \( 3 \tan^2 60^\circ \):
Evaluate \( 3 \tan^2 60^\circ \):
If \( A \), \( B \), and \( C \) are angles of a triangle ABC, then the value of \( \csc \left( \frac{A + B}{2} \right) \) is:
If \( \sin \theta = \sqrt{2} \cos \theta \), then the value of \( \sec \theta \) is:
What is the reciprocal of \( \sin \theta \times \cot \theta \)?
Evaluate \( \cot 12^\circ \cdot \cot 38^\circ \cdot \cot 52^\circ \cdot \cot 60^\circ \cdot \cot 78^\circ \):
In \( \triangle ABC \), \( \angle C = 90^\circ \), then \( \sin(A + B) = \)
If \( \sqrt{\frac{1 + \cos A}{1 - \cos A}} \) is, then the correct option is:
If \( \sin(20^\circ + \theta) = \cos 30^\circ \), then the value of \( \theta \) is
The angles of elevation of the top of a tower from two points at distances of 4 m and 9 m from the base of the tower, which are in the same straight line, are complementary. Prove that the height of the tower is 6 m.
Prove that
\[ \left( \frac{\sin A}{1+\cos A} + \frac{1+\cos A}{\sin A} \right) \left( \frac{\sin A}{1-\cos A} + \frac{1-\cos A}{\sin A} \right) = 4 \csc A \cot A. \]
Prove that \( \frac{\sec\theta + \tan\theta}{\sec\theta - \tan\theta} = \left(\frac{1 + \sin\theta}{\cos\theta}\right)^2 \).
If \( A, B, C \) are angles of a triangle \( ABC \), then the value of \( \csc \left(\frac{A+B}{2}\right) \) is:
What is the reciprocal of \( \sin \theta \times \cot \theta \)?
\( \cot 12^\circ \times \cot 38^\circ \times \cot 52^\circ \times \cot 60^\circ \times \cot 78^\circ = \)?
Evaluate \( \csc(90^\circ - \theta) \cdot \cos(90^\circ - \theta) \):
If \( \sin \theta = \sqrt{2} \cos \theta \), then the value of \( \sec \theta \) is:
Evaluate \( 3 \tan^2 60^\circ \):
The angle of elevation of the top of a building from the foot of a tower is \( 30^\circ \), and the angle of elevation of the top of the tower from the foot of the building is \( 60^\circ \). If the tower is 50 m high, find the height of the building.
A ladder 15 m long makes an angle of \( 60^\circ \) with the wall. Find the height of the point on the wall where the ladder touches the wall.