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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"

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 compl class=

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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

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