Question

What is the relationship between the sine and cosine of the complementary angles in this diagram?

Drag and drop the answers into the boxes to correctly complete the statements.

Answer 1

Answer:

1) $\frac{b}{c}$

2) 90°

3) 90 - 40

4) 90 - 40

Step-by-step explanation:

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Answer 2

Both Sin(48°) and Cos(x°) can be represented by the ratio b:c. Complementary angles are those angles, the sum of which is 90°.

Complementary Angles

The Two angles, which when added gives the result 90 degrees is called complementary angles. In the given question both Sin(48°) and Cos(x°) can be represented by ratio b÷c, because value of Sin(48) and Cos(x) are b÷c.

Since 48° and x° are complementary angles, hence the value of x will be = 42 degrees. And Sin(48°) = Cos(x°), therefore Sin(48°) = Cos(90° - 48°).

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