Question

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

Answer 1

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)

Answer 2

Answer:

$\text{sin}(Z)=\frac{4}{5}$.

Step-by-step explanation:

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

Please find the attachment.

We know that $\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$ and $\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$.

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