Inverse Trig

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.

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

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

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

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.

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

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.

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.

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.

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