To evaluate the expression cos(53°)sin(37°), we need to remember a fundamental identity of trigonometry, which is cos(90° - θ) = sin(θ).

Here, we can see that 53° and 37° are complementary angles because they add up to 90°. This means we can use the identity to simplify the expression:

cos(53°)sin(37°) = sin(90° - 53°)sin(37°) = sin(37°)sin(37°) = (sin(37°))^2.

So, the expression cos(53°)sin(37°) simplifies to (sin(37°))^2.

Question

To evaluate the expression cos(53°)sin(37°), we need to remember a fundamental identity of trigonometry, which is cos(90° - θ) = sin(θ).

Here, we can see that 53° and 37° are complementary angles because they add up to 90°. This means we can use the identity to simplify the expression:

cos(53°)sin(37°) = sin(90° - 53°)sin(37°) = sin(37°)sin(37°) = (sin(37°))^2.

So, the expression cos(53°)sin(37°) simplifies to (sin(37°))^2.

Knowee AI · Accepted Answer

To evaluate the expression cos(53°)sin(37°), we need to remember a fundamental identity of trigonometry, which is cos(90° - θ) = sin(θ).

Here, we can see that 53° and 37° are complementary angles because they add up to 90°. This means we can use the identity to simplify the expression:

cos(53°)sin(37°) = sin(90° - 53°)sin(37°) = sin(37°)sin(37°) = (sin(37°))^2.

So, the expression cos(53°)sin(37°) simplifies to (sin(37°))^2.

Evaluate: cos⁡53∘sin⁡37∘sin37 ∘ cos53 ∘