Question

Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ?

Answer 1

Given:

Given that FGH is a right triangle. The sine of angle F is 0.53.

We need to determine the cosine of angle H.

Cosine of angle H:

Given that the sine of angle F is 0.53

This can be written as,

`sin F=0.53`

Applying the trigonometric ratio, we have;

`(HG)/(FH)=0.53` ----- (1)

Now, we shall determine the value of cosine of angle H.

Let us apply the trigonometric ratio
`cos \ \theta=(adj)/(hyp)`, we get;

`cos \ H=(HG)/(FH)` ----- (2)

Substituting the value from equation (1) in equation (2), we get;

`cos \ H=0.53`

Thus, the cosine of angle H is 0.53