Question

ZAP is a right triangle, with right angle A and sin P = 3/5 What is cos Z?

Answer 1

The ratio of cos Z is cos Z = 3 / 5

How to find the trigonometric ratios of a right triangle?

A right triangle has one angle of the triangle as 90 degrees.

The sides of the right triangle can be found using trigonometric ratios.

Therefore,

sin ∅ = opposite / hypotenuse

sin Z = 3 / 5

Using Pythagoras theorem,

c² = a² + b²

5² - 3² = b²

b² = 25  - 9

b² = 16

b = √16

b = 4

Hence,

P + A = 90 degrees (complementary angles)

Therefore,

sin P = cos Z

cos Z = 3 / 5

learn more on right triangle here: brainly.com/question/4364549

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