Question

The value of
$4[1–si{n}^2\theta ][1+ta{n}^2\theta ]$

• A. 4
• B. 1
• C. 2
• D. 0

Answer 1

The correct option is A

4

$Weknowthat(1-si{n}^2\theta =co{s}^2\theta and1+ta{n}^2\theta =se{c}^2\theta )$

$4[1–si{n}^2\theta ][1+ta{n}^2\theta ]=4co{s}^2\theta \times se{c}^2\theta =4$