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Question: If\(\frac { 1 } { 2 }\)cosec<sup>2</sup>q, 2 cot q, sec q, where 0\<q\<\(\frac { \pi } { 2 }\) are i...

If12\frac { 1 } { 2 }cosec2q, 2 cot q, sec q, where 0<q<π2\frac { \pi } { 2 } are in G.P. , if q is equal to –

A

π6\frac { \pi } { 6 }

B

π4\frac { \pi } { 4 }

C

π3\frac { \pi } { 3 }

D

None of these

Answer

π3\frac { \pi } { 3 }

Explanation

Solution

12\frac { 1 } { 2 }cosec2 q. sec q = 4 cot2 q ; cos q = 12\frac { 1 } { 2 } Ž q = π3\frac { \pi } { 3 }