Question

PLEASE HELP!!!! ILL MARK BRAINLIEST WITH 10O POINTS!!!!!!! WITH EXLANATION!!


Use the diagram below to create a paragraph proof for the statement: "The sine and cosine of complementary angles are equal"

Answer 1

Answer:

Complemenraty angles are two angles with sum of 90°. In the given triangle ∠A and ∠B are complementary.

Now, the sine and cosine

• sine = opposite side/hypotenuse
• cosine = adjacent side/hypotenuse

Find the sine of ∠A and cosine of ∠B

• sin A = BC/AB
• cos B = BC/AB

Since right sides are equal, left sides are equal too

• sin A = cos B

Similarly, we can show that

• sin B = cos A

Proved