𝐓𝐑𝐈𝐆𝐎𝐏𝐄𝐃𝐈𝐀

Something spherical is like a sphere in being round, or more or less round, in three dimensions.

Angle sum identities and angle difference identities can be used to find the function values of any angles however, the most practical use is to find exact values of an angle that can be written as a sum or difference using the familiar values for the sine, cosine and tangent of the 30°, 45°, 60° and 90° angles and their multiples.

a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

is a statement about the relationship between the tangents of two angles of a triangle and the lengths of the opposing sides.

For general triangles, a formula relating the ratios of sines of angles to the opposite side lengths.

 A formula relating the side lengths and angles of a general triangle. It is a generalization of the Pythagorean theorem.

Ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle

A line that touches a curve but does not intersect it Many people find it easy to remember what sides of the right triangle are equal to sine, cosine, or tangent, by memorizing the word SOH-CAH-TOA (see below under Mnemonics).

The ray where measurement of an angle stops.