Front

What is the definition of inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that determine the angle whose trigonometric ratio is known. They are denoted as sin^-1, cos^-1, and tan^-1.

Tags

CCSS.HSF.TF.B.7

Front

What is the relationship between sine and cosine in a right triangle?

Back

In a right triangle, the sine of an angle is equal to the cosine of its complementary angle: sin(θ) = cos(90° - θ).

Tags

CCSS.HSG.SRT.C.7

Front

How do you calculate the angle using the tangent function?

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

What is the range of the inverse sine function?

Back

The range of the inverse sine function (sin^-1) is [-π/2, π/2] or [-90°, 90°].

Tags

CCSS.HSF-BF.B.4D

Front

What is the range of the inverse cosine function?

Back

The range of the inverse cosine function (cos^-1) is [0, π] or [0°, 180°].

Tags

CCSS.HSF-BF.B.4D

Front

What is the range of the inverse tangent function?

Back

The range of the inverse tangent function (tan^-1) is (-π/2, π/2) or (-90°, 90°).

Tags

CCSS.HSF-BF.B.4D

Front

How do you solve for an angle using the cosine function?

Back

To solve for an angle using the cosine function, use the formula θ = cos^-1(adjacent/hypotenuse).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the formula for finding the sine of an angle in a right triangle?

Back

The sine of an angle is calculated as sin(θ) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding the cosine of an angle in a right triangle?

Back

The cosine of an angle is calculated as cos(θ) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding the tangent of an angle in a right triangle?

Back

The tangent of an angle is calculated as tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.6