Practice — Trigonometric Functions

Easy

If \( \sin \theta = \frac{3}{5} \) and \( \theta \) is in the first quadrant, what is \( \cos \theta \)?

Easy

Evaluate \( \tan 45^\circ \).

Medium

If \( \sin A = \frac{5}{13} \) and \( A \) is acute, find \( \tan A \).

Easy

Which of the following is the correct identity?

Medium

If \( \tan \theta = 3 \), find \( \sin \theta \) and \( \cos \theta \).

Medium

Find the value of \( \sin 75^\circ \) using angle addition formula.

Medium

If \( \sin \theta = \frac{1}{3} \), find \( \tan^2 \theta \).

Easy

Prove that \( (1 + \sin \theta)(1 - \sin \theta) = \cos^2 \theta \).

Hard

If \( \cos A = \frac{7}{25} \) and \( A \) lies in the second quadrant, find \( \sin A \).

Hard

Find the general solution of \( \sin x = \frac{1}{2} \).

Trigonometric Functions