Inverse Trig Ratios

Front

What is the definition of inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that determine the angle whose trigonometric ratio is a given number. They include arcsin, arccos, and arctan.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are related through the Pythagorean identity: sin²(x) + cos²(x) = 1.

Front

What is the range of the arcsin function?

Back

The range of the arcsin function is [-π/2, π/2] or [-90º, 90º].

Front

What is the range of the arccos function?

Back

The range of the arccos function is [0, π] or [0º, 180º].

Front

What is the range of the arctan function?

Back

The range of the arctan function is (-π/2, π/2) or (-90º, 90º).

Front

How do you find the angle using the sine ratio?

Back

To find the angle using the sine ratio, use the formula: x = sin⁻¹(opposite/hypotenuse).

Front

How do you find the angle using the cosine ratio?

Back

To find the angle using the cosine ratio, use the formula: x = cos⁻¹(adjacent/hypotenuse).

Front

How do you find the angle using the tangent ratio?

Back

To find the angle using the tangent ratio, use the formula: x = tan⁻¹(opposite/adjacent).

Front

What is the value of sin(45º)?

Back

sin(45º) = √2/2.

Front

What is the value of cos(45º)?

Back

cos(45º) = √2/2.