Analyze the diagram below and complete the instructions that follow. Find the sine and the cosine of 30°.

sin(30) = 1/2

cos(30) = (sqrt3)/2

Step-by-step explanation:

Recall that the sine of an angle is the ratio of Opposite over Hypotenuse. The Opposite leg of 30 degrees is 4 units. The Hypotenuse is 8 units.

So, sin(30) = 4/8, which simplifies to 1/2.

sin(30) = 1/2

For cosine, remember that the trigonometric ratio for this is Adjacent over Hypotenuse. In this case, the Adjacent leg is 4(sqrt3), and the Hypotenuse is still 8.

Thus, cos(30) = (4(sqrt3))/8.

We can simplify 4/8 so that it's 1 over 2.

1(sqrt3) divided by 2 is your answer.

1 times the square root of 3 is the square root of 3 so you don't have to put the 1.

cos(30) = (1(sqrt3))/2

a

step-by-step explanation:

the answer is a