Trigonometry

What is the value of \( \sin 90^\circ \)?

If \( \sin \theta = \frac{3}{5} \) and \( \theta \) is an acute angle, what is \( \cos \theta \)?

In a right triangle, if the hypotenuse is 10 cm and one leg is 6 cm, find \( \sin \) of the angle opposite to the 6 cm side.

Which of the following is the correct identity?

If \( \tan \theta = 1 \), then \( \theta \) is:

Find \( \cot 60^\circ \).

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

Evaluate \( \sin 30^\circ + \cos 60^\circ \).

If \( \sin \theta = \frac{12}{13} \) and \( \theta \) is in the second quadrant, find \( \cos \theta \).

Prove that \( (1 + \tan^2 \theta) = \sec^2 \theta \).