An angle is drawn in standard position passing through the unit circle at (0.643,0.766). the angle in standard position θ has a measure of 50°.
what is cos50°?
cos50°≈

The asnwer is: Cos50° ≈ 0.643

A unit circle is a cirgle with a radius equal of 1, knowing that,  also know the following:

The angle is drawn passing trough the unit circle at (0.643,0.766) it means that:

So,

Cos50° ≈ 0.643

We can prove that by following the next steps:

- If it's a unit circle,here is a right triangle with hypotenuse of 1,

- We can determine the cosine of the angle by the following formula:

Therefore,

Cos(α)=49.98°≈50°

Also, if there is a right triangle, according to the Pythagorean Thorem:

Hence,

Cos50° ≈ 0.643

Have a nice day!

Step-by-step explanation:

We have been given that an angle is drawn in standard position passing through the unit circle at (0.643,0.766). The angle in standard position θ has a measure of 50°. We are asked to find .

We know that on unit circle the x-coordinates represent cos and y-coordinates represent sin.

Therefore, the value of would be 0.643 as it represent x-coordinate of our given point.

point a is the center of this circle.

the ratio of the lengths of (ef/bc) and (ad/ih) is 2: 1.

step-by-step explanation:

answer for #1 is c

answer for #2 is d

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