Question

What are the trigonometric ratios of in a right triangle with the given value tan A = 9/40

Answer 1

The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are

sin A = 9 / 41

cos A = 40 / 41

Trigonometric ratios

Trigonometric ratios are used to solve for the sides and angles of a right angle triangle.

Therefore,

sin A = opposite / hypotenuse

cos A = adjacent / hypotenuse

tan A = opposite / adjacent

Using Pythagoras theorem, let find the hypotenuse side

c² = 40² + 9²

c = √1681

c = 41

Therefore,

sin A = 9 / 41

cos A = 40 / 41

learn more on trigonometric ratios here: brainly.com/question/24320387

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