If the sin 30 degrees = 1/2, then which statement is true?
a) cos 150 = 0, because the cosine and sine are supplements
b) cos 60 = 1/2, because the cosine and sine are complements
c) cos 150 = 1, because the cosine and sine are supplements
d) cos 60 = 0, because the cosine and sine are complements

B

Step-by-step explanation:

Note that

cosx = sin(90 - x), hence

cos60 = sin(90 - 60) = sin30

Option(b)

Step-by-step explanation:

It is given that Sin 30°=

As we know that

Sin(90-Ф)= cosФ

Here, sine and cosine are  complementary to each other

Sin(90-Ф)= cosФ

for sin 30°

By considering this

if Ф= 60°

Putting  the value of Ф= 30° in above equation

sin(90-60)=  cos 60°

here, sin 30°= cos 60°

Hence, both are complementary to each other.

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

Hence, option(b) is correct

step-by-step explanation:

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