Finding Angle Measures using Trig

Front

What is the sine function in relation to a right triangle?

Back

The sine function (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function in relation to a right triangle?

Back

The cosine function (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function in relation to a right triangle?

Back

The tangent function (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the measure of an angle using the sine function?

Back

To find the measure of an angle using the sine function, use the formula: angle = sin^-1(opposite/hypotenuse).

Front

How do you find the measure of an angle using the cosine function?

Back

To find the measure of an angle using the cosine function, use the formula: angle = cos^-1(adjacent/hypotenuse).

Front

How do you find the measure of an angle using the tangent function?

Back

To find the measure of an angle using the tangent function, use the formula: angle = tan^-1(opposite/adjacent).

Front

What is the relationship between the angles in a right triangle?

Back

The sum of the angles in a right triangle is always 180°, with one angle being 90°.

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or θ = 150°.

Front

If cos(θ) = 0.6, what is θ?

Back

θ = 53.13° or θ = 306.87°.

Front

If tan(θ) = 1, what is θ?

Back

θ = 45° or θ = 225°.