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Which of the following explains why cos60 = sin30 using the unit circle?

A.) The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.

B.) The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the x (sin) distance of a 30° angle is the same as the y (cos) distance of a 60° angle.

C.) The ratios describe different sides of the same right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.

D.) The ratios describe different sides of the same right triangle. On a unit circle, the x (sin) distance of a 30° angle is the same as the y (cos) distance of a 60° angle.

Verified Answer :

A is the correct answer.  The sine pertains to the opposite side of a right triangle while cosine pertains to the adjacent side.  On the unit circle, x represents cosine and y represents sine.

Hey there

Statement (A) tells us why cos60 = sin30 using the unit circle. 

(A) = The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.

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