Maths / Introduction to Trigonometry / Trigonometric Identities

QUESTION

Express the trigonometric ratio sin A in terms of cot A.

 OPTIONS A. $\dpi{120} \large \frac {1}{\sqrt {1+cot^2A}}$ B. $\dpi{120} \large \frac {1}{\sqrt {1-cot^2A}}$ C. $\dpi{120} \large \frac {1}{\sqrt {1+2cot^2A}}$ D. None of these
Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

We have  $cosec^2A=1+cot^2A$

$\Rightarrow \: \: \: \: \frac {1}{sin^2A}=1+cot^2A$

$\Rightarrow \: \: \: \: sin^2A=\frac {1}{1+cot^2A}\Rightarrow sinA=\frac {1}{\sqrt {1+cot^2A}}$

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