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Chapter 10: Q66. (page 660)

Find the values of the three trigonometric ratios for angle A.

Short Answer

Expert verified

The values of the three trigonometric ratios for angle A are sin鈭�A=45,cos鈭�A=35and tan鈭�A=43.

Step by step solution

01

Step 1. Given.

The values of the three trigonometric ratios are given.

02

Step 2. Write the formulas for the trigonometric ratios.

The formula for the trigonometric ratios is:

sin鈭�A=legopposite鈭�Ahypotenuse

cos鈭�A=legadjacentto鈭�Ahypotenuse

tan鈭�A=legopposite鈭�Alegadjacentto鈭�A

03

Step 3. Find the values of the three trigonometric ratios for angle A.

The given diagram is:

From the diagram, it can be noticed that the leg opposite 鈭�A, leg adjacent to 鈭�A, and the hypotenuse are 4, 3, and 5 respectively.

Therefore,

sin鈭�A=legopposite鈭�Ahypotenuse=45

cos鈭�A=legadjacentto鈭�Ahypotenuse=35

tan鈭�A=legopposite鈭�Alegadjacentto鈭�A=43

Therefore, the values of the three trigonometric ratios for angle A are sin鈭�A=45,cos鈭�A=35 and tan鈭�A=43.

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