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Question

Question: If cos<sup>–1</sup> \(\left( \frac { 1 } { x } \right)\) = q, then tan q =...

If cos–1 (1x)\left( \frac { 1 } { x } \right) = q, then tan q =

A

1x21\frac { 1 } { \sqrt { \mathrm { x } ^ { 2 } - 1 } }

B

x2+1\sqrt { \mathrm { x } ^ { 2 } + 1 }

C

D

x21\sqrt { \mathrm { x } ^ { 2 } - 1 }

Answer

x21\sqrt { \mathrm { x } ^ { 2 } - 1 }

Explanation

Solution

Given that cos–1 = q Ž cos q =

Now, tan q = x21\sqrt { \mathrm { x } ^ { 2 } - 1 }