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If 2x=secA, 2/x= tanA. Find 2(x^2-1/x^2)

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If 2x=secA, 2/x= tanA. Find 2(x^2-1/x^2)

Posted by Meet Jain 6 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 3 months ago

We know that
sec²A - tan²A = 1
{tex}\Rightarrow ( 2 x ) ^ { 2 } - \left( \frac { 2 } { x } \right) ^ { 2 }{/tex} = 1
{tex}\Rightarrow 4 x ^ { 2 } - \frac { 4 } { x ^ { 2 } }{/tex} = 1
{tex}\Rightarrow 4 \left( x ^ { 2 } - \frac { 1 } { x ^ { 2 } } \right){/tex} = 1
{tex}\Rightarrow \left( x ^ { 2 } - \frac { 1 } { x ^ { 2 } } \right) = \frac { 1 } { 4 }{/tex}

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