Maths / Introduction to Trigonometry / Trigonometric Identities

QUESTION
 

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

OPTIONS
A. 

large frac {1}{sqrt {1+cot^2A}}

B. 

large frac {1}{sqrt {1-cot^2A}}

C. 

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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