Math127 Inverse Trig Functions continued

Secant Inverse of One

The angle whose secant is 1, which is 0 degrees.

Cosecant Inverse of Two

The angle whose cosecant is 2, which corresponds to sine being 1/2, or 30 degrees (π/6).

Cotangent Inverse of -√3

Equivalent to tangent inverse of -1/√3, resulting in 5π/6 in the second quadrant.

Pythagorean Theorem

A theorem used to find the lengths of sides in a right triangle, given by a² + b² = c².

Cosine of 0 degrees

Cosine of 0 degrees is 1.

Inverses of Trigonometric Functions

Functions that return the angle whose trigonometric function is a given value. Example: sin⁻¹, cos⁻¹, tan⁻¹.

Quadrants

The four sections of the Cartesian plane, used to determine the signs of trigonometric functions.

Hypotenuse

The longest side of a right triangle, opposite the right angle.

Tangent Inverse

The function that gives the angle whose tangent is a given value.

Quadrant II

The section of the Cartesian plane where x is negative and y is positive.

Trigonometric Ratios

Ratios derived from the lengths of sides of a right triangle (sine, cosine, tangent).

Cosecant

The reciprocal of sine; cosecant = 1/sine.

Cotangent

The reciprocal of tangent; cotangent = 1/tangent.

Angle Measurement

The angle of a triangle can be determined using trigonometric functions based on the side lengths.