Hello! I'm not really sure how to solve this question, and I was wondering if I could have some assistance on how to solve it? Any help it appreciated! Thanks!
Question: What is the exact value of cos 30°?
sketch the right triangle.
the side adjacent to the angle is sqrt3, opposite side is one, and hypotenuse is 2
cos30 then = sqrt3 / 2
from the same sketch, sin30=1/2
tan 30=1/sqrt3
Hello! I'm here to help you solve the question. To find the exact value of cos 30°, we can make use of the unit circle and the trigonometric ratios.
1. Start by drawing a coordinate grid, also known as the unit circle.
2. Mark the angles on the unit circle as degrees or radians. In this case, we are interested in the angle 30°.
3. Now, let's focus on the angle 30°. It lies in the first quadrant, where the coordinates of the point on the unit circle are (cos θ, sin θ).
4. To find the value of cos 30°, we look at the x-coordinate of the point on the unit circle corresponding to the angle 30°.
5. The x-coordinate of the point on the unit circle corresponding to 30° is equal to cos 30°.
By analyzing the unit circle, we can see that the x-coordinate at 30° is equal to √3/2. Therefore, the exact value of cos 30° is √3/2.
I hope this explanation helps you understand how to solve the question! If you have any more questions or need further assistance, feel free to ask.