Chapter 7.5 Tangent

Front

What is the definition of tangent in trigonometry?

Back

Tangent is a trigonometric function defined as the ratio of the opposite side to the adjacent side in a right triangle.

Front

How do you calculate the tangent of an angle?

Back

Tangent of an angle (θ) can be calculated using the formula: tan(θ) = opposite/adjacent.

Front

What is the relationship between tangent and sine/cosine?

Back

Tangent can be expressed as tan(θ) = sin(θ)/cos(θ).

Front

What is the value of tan(45°)?

Back

The value of tan(45°) is 1.

Front

What is the tangent of 0 degrees?

Back

The tangent of 0 degrees is 0.

Front

What is the tangent of 90 degrees?

Back

The tangent of 90 degrees is undefined.

Front

How do you find the tangent of an angle in a right triangle?

Back

To find the tangent of an angle, divide the length of the side opposite the angle by the length of the side adjacent to the angle.

Front

What is the range of the tangent function?

Back

The range of the tangent function is all real numbers (-∞, ∞).

Front

What is the period of the tangent function?

Back

The period of the tangent function is π (180 degrees).

Front

How do you solve for x in the equation tan(x) = 1?

Back

To solve for x, set x = 45° + n*180°, where n is any integer.