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If 3x=cosec thita and 3/x=cot thita, …

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If 3x=cosec thita and 3/x=cot thita, find the value of 3(x2-1/x2)

Posted by Priya Kumari 6 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 2 months ago

We know that
{tex}\cos e c ^ { 2 } \theta - \cot ^ { 2 } \theta = 1{/tex}
{tex}\Rightarrow ( 3 x ) ^ { 2 } - \left( \frac { 3 } { x } \right) ^ { 2 } = 1{/tex}
{tex}\Rightarrow 9 x ^ { 2 } - \frac { 9 } { x ^ { 2 } } = 1{/tex}
{tex}\Rightarrow 3 \times 3 \left( x ^ { 2 } - \frac { 1 } { x ^ { 2 } } \right) = 1{/tex}
{tex}\Rightarrow 3 \left( x ^ { 2 } - \frac { 1 } { x ^ { 2 } } \right) = \frac { 1 } { 3 }{/tex}

1Thank You

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CBSE > Class 10 > Mathematics