Question

If the sin 60=√3/2, then which statement is true?

Answer 1

Answer:

Option A

Step-by-step explanation:

Sin 60 = $\frac{\sqrt{3}}{2}$ is the statement given in this question.

We know from the trigonometric identities.

Sin x = cos ( 90-x )

In other words Sin and Cos are complementary.

Therefore, Sin 60 = Cos ( 90 - 30 )

                              = Cos (30)

                             = $\frac{\sqrt{3}}{2}$

Therefore, option A is the answer

Answer 2

Cos30 = sin(90 - 60) = √3/2, because cos and sin are complements

cos120 = cos(180 - 60) = -cos60 = -1/2