Finding missing sides using trig

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function that 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?

Back

The cosine function (cos) is a trigonometric function that 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?

Back

The tangent function (tan) is a trigonometric function that 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

How do you set up an equation using sine to find a missing side?

Back

To find a missing side using sine, use the equation: sin(angle) = opposite/hypotenuse.

Front

How do you set up an equation using cosine to find a missing side?

Back

To find a missing side using cosine, use the equation: cos(angle) = adjacent/hypotenuse.

Front

How do you set up an equation using tangent to find a missing side?

Back

To find a missing side using tangent, use the equation: tan(angle) = opposite/adjacent.

Front

If sin(40°) = x/19, how do you solve for x?

Back

Multiply both sides by 19: x = 19 * sin(40°).

Front

What is the value of sin(40°) approximately?

Back

sin(40°) ≈ 0.6428.

Front

If cos(72°) = 6/x, how do you solve for x?

Back

Rearrange to x = 6/cos(72°).

Front

What is the value of cos(72°) approximately?

Back

cos(72°) ≈ 0.3090.