Question

PLS HELP I RLY NEED IT

If the sin 30º = 1/2
then which statement is true? (6 points)

a. cos 150° = 0, because the cosine and sine are supplements

b. cos 60° = 0, because the cosine and sine are complements

c. cos 150° = 1, because the cosine and sine are supplements

d. cos 60° = 1/2, because the cosine and sine are complements

Answer 1

Because sine and cosine are complements, we will have that:

cos(60°) = 1/2.

Which statement is true?

First, because cosine and sine are complements, we know that:

cos(x) = sin(x + 90°).

cos(90° - x) = sin(x).

We will use the second relation, with x = 30° we can write:

cos(90° - 30°) = sin(30°)

cos(60°) = sin(30°)

And we know that sin(30°) = 1/2

Then we also have cos(60°) = 1/2.

So the correct option is d.

If you want to learn more about trigonometric functions:

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