Holly G.

asked • 07/22/21

Find the exact value of each trigonometric ratio.

a) cos30°

b) sin225°

1 Expert Answer

By:

Jacob C. answered • 07/23/21

Tutor
New to Wyzant

Holly G.

what are the steps to get a?
Report

07/23/21

Jacob C.

Consider an equilateral triangle with each side of length 6. Each angle will be 60 degrees because it is equilateral. If we draw a line from a corner of the triangle to the midpoint of the opposing line, we will form a 30, 60, 90 triangle with one side length 6/2 = 3 and the hypotenuse 6. It’s straightforward to show, using the Pythagorean Theorem, that the remaining side length is 3sqrt(3). Thus, the cosine of the 30 degree angle is 3sqrt(3)/6 = sqrt(3)/2.
Report

07/24/21

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.