Question

What is the relation between $sin\theta$ and $cos\theta$ for any value of $\theta$?

• A. $si{n}^2\theta -co{s}^2\theta =1$
• B. $si{n}^2\theta +1=co{s}^2\theta$
• C. $co{s}^2\theta +1=si{n}^2\theta$
• D. $1-si{n}^2\theta =co{s}^2\theta$

Answer 1

The correct option is D $1-si{n}^2\theta =co{s}^2\theta$

The relation between $sin\theta$ and $cos\theta$ is given by,

$si{n}^2\theta +co{s}^2\theta =1$

From the above equation, we get,

$1-si{n}^2\theta =co{s}^2\theta$