tangent

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How Do Secant-Tangent and Tangent-Tangent Angles Work? A Complete Guide

How Do Secant-Tangent and Tangent-Tangent Angles Work? A Complete Guide

A secant-tangent angle formed outside a circle equals half the difference of the two intercepted arcs; a tangent-tangent angle follows the same rule. When the vertex sits on the circle, the angle is half the intercepted arc instead. Below: each case with a worked example. Secant-Tangent Angle: Formed when a secant line and a tangent […]

How to Define Sine, Cosine, and Tangent

How to Define Sine, Cosine, and Tangent

TL;DR: Sine, cosine, and tangent are the three ratios that unlock every right triangle. For any acute angle theta inside a right triangle, sine is the opposite side over the hypotenuse, cosine is the adjacent side over the hypotenuse, and tangent is the opposite side over the adjacent side. The mnemonic SOH-CAH-TOA packs all three […]

Sum and Difference of Trigonometric Functions Formulas

Sum and Difference of Trigonometric Functions Formulas

Pythagorean Identities

Pythagorean Identities