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

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,

Applying the trigonometric ratio, we have;

----- (1)

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

Let us apply the trigonometric ratio , we get;

----- (2)

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

Thus, the cosine of angle H is 0.53

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step-by-step explanation: