Question

Sin teta cos(90- teta) + cos teta sin(90-teta) =____

Answer 1

Answer:

Sin Theta = Cos (90 - Theta) and Cos Theta = Sin (90 - Theta).

Step-by-step explanation:

Answer 2

Given:

$\sin \theta \cos (90-\theta)+\cos \theta \sin (90-\theta)$

To Find:

Find the value of $\sin \theta \cos (90-\theta) + \cos \theta \sin (90-\theta)$.

Solution:

$\sin \theta \cos (90-\theta) + \cos \theta \sin (90-\theta)$

$=\sin \theta \sin \theta + \cos \theta \cos \theta$

$=\sin^2 \theta + \cos^2 \theta$

$=1$ [ as we know that $\sin^2 \theta + \cos^2 \theta =1$]