Question

GIVE ALL TRIGNOMETRY IDENTITIES WITH EXAMPLES



MATHEMATHICS CLASS 10
CH.8 TRIGNOMETRY



{ 100 points }

••NEeD QUAliTy aNSwEr ••​

Answer 1

Answer

The examples are based on the attached figure.

$\tt{sin^{2} A + cos^{2} A = 1}$

E.g.. $\tt{(\frac{BC}{AC})^{2} + (\frac{AB}{AC})^{2} = 1}$

$\tt{sec^{2} A = 1 + tan^{2} A}$

E.g.. $\tt{(\frac{AC}{AB})^{2} = 1 + (\frac{BC}{AB})^{2}}$

$\tt{cosec^{2} A = 1 + cot^{2} A}$

E.g.. $\tt{(\frac{AC}{BC})^{2} = 1 + (\frac{AB}{BC})^{2}}$

Answer 2

Trigonometric Identities :-

•$sin^2theta$+$cos^2theta$= 1

•$sin^2theta$ = 1 - $cos^2theta$ =

$\frac{1}{cosec^2theta}$

•$cos^2theta$ = 1- $sin^2theta$ = $\frac{1}{sec^2theta}$

•$tan^2theta$ + 1 = $sec^2theta$

•$cot^2theta$+ 1= $cosec^2theta$

•tanA × cotA = 1

•$tan^2A × cot^2A$

•sinA × cosecA = 1

•cosA × secA = 1