ZAP is a right triangle, with right angle A and cosP = 4/5. What is sin Z?

if you want to find cosP , since angles Z and P are 2 complementary angles then cosZ is the same as cosP so you say the cosP=sinZ=4/5 (property of 2 complement angles in a right triangle)

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ApusApus ApusApus · Answer 2 · 2019-06-29T14:54:27+02:00

Answer:

[tex]\text{sin}(Z)=\frac{4}{5}[/tex].

Step-by-step explanation:

We have been given that ZAP is a right triangle, with right angle A and [tex]\text{cos}(P)=\frac{4}{5}[/tex]. We are asked to find the [tex]\text{sin}(Z)[/tex].

Please find the attachment.

We know that [tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex] and [tex]\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex].

Upon looking at our attachment, we can see that [tex]\text{cos}(P)=\text{sin}(Z)[/tex], therefore, [tex]\text{sin}(Z)=\frac{4}{5}[/tex].