Trig Ratios

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

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Special Right Triangles

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Trig Ratios

Right Triangles and Trigonometry • SAT Math

Set 3 — Foundation

In a right triangle, if the angle $\theta$ has a sine of $\frac{3}{5}$ , what is the length of the opposite side if the hypotenuse is 10?

If $\tan(\theta) = 1$ , what is the value of $\theta$ in degrees?

In a right triangle, if the adjacent side is 4 and the hypotenuse is 5, what is $\cos(\theta)$ ?

0.8

0.6

0.5

1.25

What is the value of $\sin(30^\circ)$ ?

0.5

0.6

0.7

If $\sin(\theta) = \frac{1}{2}$ , what is $\theta$ in degrees?

In a right triangle, if the opposite side is 5 and the adjacent side is 12, what is $\tan(\theta)$ ?

0.4167

0.8333

1.5

2.4

What is the value of $\cos(60^\circ)$ ?

0.5

0.866

If the hypotenuse of a right triangle is 13 and one side is 5, what is the length of the other side?

If $\tan(\theta) = \frac{3}{4}$ , what is the opposite side if the adjacent side is 8?

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