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Short Answer

Expert verified

The trigonometry identities use to find the sides and angle of the triangle.

Step by step solution

01

Introduction

In this section learn about trigonometry and the Pythagorean theorem. It is applicable in a right-angle triangle. There are two sides and one hypotenuse. The hypotenuse is the longest side of the triangle.

02

Explanation

In triangle \(ABC\) , \(\angle B=90^\circ\)

There are trigonometry identities:

\(\begin{align*}\bullet &&\sin^2C+\cos^2C=1\\\bullet &&\sec^2C=1+\tan^2C\\\bullet &&\csc^2C=1+\cot^2C\end{align*}\)

\(\sin C=\frac{c}{b}\)

\(\cos C=\frac{a}{b}\)

\(\tan C=\frac{c}{a}\)

Using this identity relation between \(\sin C,\cos C\) and \(\tan C\).

\(\tan C=\frac{\sin C}{\cos C}\)

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