Maths / Introduction to Trigonometry / Trigonometric Identities

QUESTION
 

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

OPTIONS
A. 

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

B. 

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

C. 

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

D. 

None of these

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

 We have,  sec^2A=1+tan^2A=1+frac {1}{cot^2A}=frac {1+cot^2A}{cot^2A}

       Rightarrow : : : : : : : secA=frac {sqrt {1+cot^2A}}{cotA}

 

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