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Write the Value of Cosec2 (90° − θ) − Tan2 θ. - Mathematics

Answer in Brief

Write the value of cosec2 (90° − θ) − tan2 θ. 

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Solution

We have, 

`cosec^2 (90°-θ)- tan ^2θ= {cosec(90°-θ)}^2-tan ^2θ` 

                               = `(secθ )^2-tan^2 θ` 

                             = `sec^2 θ-tan ^2 θ` 

We know that, ` sec^2 θ-tan ^2θ=1` 

Therefore, \[{cosec}^2 \left( 90° - \theta \right) - \tan^2 \theta = 1\] 

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 11 Trigonometric Identities
Q 7 | Page 55
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