Using Trig to find Angle Measures

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 find the angle using sine?

Back

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

Front

How do you find the angle using cosine?

Back

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

Front

How do you find the angle using tangent?

Back

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

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a^2 + b^2 = c^2.

Front

What is the relationship between sine and cosine?

Back

The sine and cosine functions are related by the identity: sin^2(θ) + cos^2(θ) = 1.

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.

Front

What is an angle in standard position?

Back

An angle in standard position has its vertex at the origin and its initial side along the positive x-axis.