Question

value of sin (37°)cos(53°) is

Answer 1

Answer:

It can be $\sin ^{2}\left(37^{\circ}\right)$  or $\cos ^{2}\left(53^{\circ}\right)$

Step-by-step explanation:

There can be two values of sin (37°) cos (53°)

CASE – 1

In the first case, we change cosθ in terms of sinθ

sin (37°) cos (53°)

Here cosθ can be written as sin⁡(90°-θ)

= sin (37°) sin (90° - 53°)  

= sin (37°) sin (37°)

$= \sin ^{2}\left(37^{\circ}\right)$  

CASE – 2

In the second case, we change sinθ in terms of cosθ

sin (37°) cos (53°)

Here sinθ can be written as cos⁡(90°-θ)

= cos (90° - 37°) cos (53°)

= cos (53°) cos (53°)

$= \cos ^{2}\left(53^{\circ}\right)$