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 range of the inverse sine function (sin^-1)?

Back

The range of the inverse sine function is [-90°, 90°] or [-π/2, π/2] in radians.

Front

What is the range of the inverse cosine function (cos^-1)?

Back

The range of the inverse cosine function is [0°, 180°] or [0, π] in radians.

Front

What is the range of the inverse tangent function (tan^-1)?

Back

The range of the inverse tangent function is (-90°, 90°) or (-π/2, π/2) in radians.

Front

How do you find the angle using the inverse tangent function?

Back

To find the angle using the inverse tangent function, use the formula θ = tan^-1(opp/adj), where 'opp' is the length of the opposite side and 'adj' is the length of the adjacent side.

Front

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

Back

In a right triangle, sine and cosine are related by the identity sin²(θ) + cos²(θ) = 1.

Front

What is the formula for calculating the height of a triangle using sine?

Back

The height (h) can be calculated using the formula h = hyp × sin(θ), where 'hyp' is the length of the hypotenuse and θ is the angle.

Front

What is the formula for calculating the base of a triangle using cosine?

Back

The base (b) can be calculated using the formula b = hyp × cos(θ), where 'hyp' is the length of the hypotenuse and θ is the angle.

Front

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

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side, expressed as tan(θ) = opp/adj.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.