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Express the trigonometry ratioes sin a,tan …

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Express the trigonometry ratioes sin a,tan a,in terms of cot a

Posted by Richhpal Mahala 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

We have to express the trigonometric ratios sin A, sec A and tan A in terms of cot A.

For sin A,

By using identity {tex}cosec ^ { 2 } A - \cot ^ { 2 } A = 1{/tex}

{tex}\Rightarrow cosec ^ { 2 } A = 1 + \cot ^ { 2 } A{/tex}

{tex}\Rightarrow \frac { 1 } { \sin ^ { 2 } A } = 1 + \cot ^ { 2 } A{/tex}

{tex}\Rightarrow \sin ^ { 2 } A = \frac { 1 } { 1 + \cot ^ { 2 } A }{/tex}

{tex} \Rightarrow \quad \sin A = \frac { 1 } { \sqrt { 1 + \cot ^ { 2 } A } }{/tex}

For tan A,

{tex} \tan A = \frac { 1 } { \cot A }{/tex}

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