Question

Find the value of: $ta{n}^2\theta +co{t}^2\theta +2$

• A. $se{c}^2\theta +cose{c}^2\theta$
• B. $sec\theta +cosec\theta$
• C. $1+se{c}^2\theta +cose{c}^2\theta$
• D. $2se{c}^2\theta +cose{c}^2\theta$

Answer 1

The correct option is A

$se{c}^2\theta +cose{c}^2\theta$

Using identity,

$1+ta{n}^2\theta =se{c}^2\theta$.....(1) and
$1+co{t}^2\theta =cose{c}^2\theta$.....(2)

Now, adding (1) and (2), we get
$2+ta{n}^2\theta +co{t}^2\theta =se{c}^2\theta +cose{c}^2\theta$