Trigonometry Basics (Foundations)

Core skills for this exam family.

Phase 2 · ACT Math

Trigonometry Basics: core idea

\sin\theta=\frac{opp}{hyp}

In a right triangle, opposite side is $3$ and hypotenuse is $5$ . Find $\sin\theta$ .

Hint: Sine is opposite over hypotenuse. Answer: 3/5.

1. Find $\cos 60^\circ$ .
2. Find $\tan 45^\circ$ .
3. Convert $180^\circ$ to radians.
4. A right triangle has adjacent side $12$ and opposite side $5$ . Find $\tan\theta$ .
5. Find $\sin 30^\circ$ .
6. If $\cos\theta=\frac45$ in a right triangle, find the adjacent-to-hypotenuse ratio.
7. Find $\cos 0^\circ$ .
8. A ladder $10$ ft long reaches $8$ ft up a wall. What is the sine of its angle with the ground?
9. Find the period of $y=\sin x$ in degrees.