Inverse Trig

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.

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).

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).

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°].

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°].

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°).

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).

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.

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.

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.