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Trigonometry Ratios

This worksheet covers Trigonometry Ratios, which is part of the Trigonometry Destroyer module in the SAT Math Destroyer Crash Course course. Practice problems are designed to strengthen key concepts and build confidence.

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Related Lessons:

Special Right Triangles

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Trigonometry Ratios

Trigonometry Destroyer • SAT Math Destroyer Crash Course

Set 2 — Mastery

If $sin(30^\circ) = \frac{1}{2}$ and $cos(30^\circ) = \frac{\sqrt{3}}{2}$ , what is the value of $\frac{sin(30^\circ)}{cos(30^\circ)}$ ?

$\frac{1}{\sqrt{3}}$

$\frac{1}{2}$

$\sqrt{3}$

$2$

In a right triangle, if the length of the opposite side is $4$ and the length of the adjacent side is $3$ , what is $tan(\theta)$ ?

$\frac{4}{3}$

$\frac{3}{4}$

$\frac{1}{2}$

$\frac{5}{3}$

If $sec(\theta) = 2$ , what is the value of $cos(\theta)$ ?

$\frac{1}{2}$

$\frac{2}{1}$

$\frac{1}{4}$

$\frac{4}{1}$

In a right triangle where $sin(\theta) = \frac{3}{5}$ , what is $cos(\theta)$ using the Pythagorean identity?

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{1}{5}$

$\frac{5}{3}$

If $cot(\theta) = 3$ , what is $tan(\theta)$ ?

$\frac{1}{3}$

$3$

$\frac{3}{1}$

$1$

In a right triangle, if the angle $\theta$ has $tan(\theta) = 1$ , what are the lengths of the opposite and adjacent sides?

1 and 1

2 and 2

3 and 3

4 and 4

If $sin(\theta) = \frac{5}{13}$ , what is $cos(\theta)$ ?

$\frac{12}{13}$

$\frac{5}{12}$

$\frac{13}{5}$

$\frac{1}{13}$

What is the value of $cot(45^\circ)$ ?

$\sqrt{2}$

Undefined

A ladder makes an angle of $30^\circ$ with the ground. If the height reached by the ladder is $5$ meters, what is the length of the ladder?

$10$

$5\sqrt{3}$

$5$

$\frac{5}{\sqrt{3}}$

10.

If $sec(\theta) = \frac{5}{4}$ , what is $sin(\theta)$ ?

$\frac{3}{5}$

$\frac{4}{5}$

$\frac{5}{4}$

$\frac{1}{5}$

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