8.2 - Trig - Finding Sides

Front

What is the sine function used for in trigonometry?

Back

The sine function relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function used for in trigonometry?

Back

The cosine function relates the angle of a right triangle to the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function used for in trigonometry?

Back

The tangent function relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

If the opposite side is 7 and the hypotenuse is 25, what is the sine of the angle?

Back

Sine = opposite/hypotenuse = 7/25 = 0.28.

Front

What is the formula for finding the length of a side using sine?

Back

Sin(θ) = opposite/hypotenuse, rearranged to find opposite: opposite = hypotenuse * Sin(θ).

Front

What is the formula for finding the length of a side using cosine?

Back

Cos(θ) = adjacent/hypotenuse, rearranged to find adjacent: adjacent = hypotenuse * Cos(θ).

Front

What is the formula for finding the length of a side using tangent?

Back

Tan(θ) = opposite/adjacent, rearranged to find opposite: opposite = adjacent * Tan(θ).

Front

In a right triangle, if one angle is 30 degrees, what is the sine of that angle?

Back

Sine(30°) = 1/2.

Front

In a right triangle, if one angle is 45 degrees, what is the cosine of that angle?

Back

Cosine(45°) = √2/2.