Question

$(1-{\sin }^2\Theta )(1+{\tan }^2\Theta )$ is equal to

• A. 1
• B. 1.5
• C. 2
• D. 2.5

Answer 1

The correct option is A 1

$(1-si{n}^2\theta )(1+ta{n}^2\theta )=co{s}^2\theta .se{c}^2\theta =1$
Since we know that,
$si{n}^2\theta +co{s}^2\theta =1$ and $se{c}^2\theta -ta{n}^2\theta =1$