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Magazine Chapter 5: Q. 0C (page 451)
Read the section and make your own summary of the material.
Short Answer
The trigonometry identities use to find the sides and angle of the triangle.
Step by step solution
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.
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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