QUICK REVIEW: Trig/Inverse Applications

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

What is the relationship between sine and cosine?

Back

For any angle x, sin(x) = cos(90° - x). This means that the sine of an angle is equal to the cosine of its complement.

Front

What is the Pythagorean identity?

Back

The Pythagorean identity states that for any angle x, sin²(x) + cos²(x) = 1.

Front

What is a 30-60-90 triangle?

Back

A 30-60-90 triangle is a special right triangle where the angles are 30°, 60°, and 90°. The sides are in the ratio 1:√3:2.

Front

How do you find the missing angle in a right triangle?

Back

In a right triangle, the sum of the angles is always 180°. If one angle is 90° and another is known, subtract the sum of the known angles from 180° to find the missing angle.

Front

What is the inverse sine function?

Back

The inverse sine function (sin⁻¹ or arcsin) is used to find the angle whose sine is a given number.

Front

What is the inverse cosine function?

Back

The inverse cosine function (cos⁻¹ or arccos) is used to find the angle whose cosine is a given number.

Front

What is the inverse tangent function?

Back

The inverse tangent function (tan⁻¹ or arctan) is used to find the angle whose tangent is a given number.