Question

What is the value of $(1-co{s}^2\theta )cose{c}^2\theta$?

• A. $1$
• B. $-1$
• C. $0$
• D. $-2$

Answer 1

The correct option is A $1$

We know that,
$si{n}^2\theta +co{s}^2\theta =1$
$\Rightarrow 1-co{s}^2\theta =si{n}^2\theta$
So, $(1-co{s}^2\theta )cose{c}^2\theta =si{n}^2\theta cose{c}^2\theta$
$=\frac{si{n}^2\theta }{si{n}^2\theta }=1$