Use 90°< θ< 180° and sin θ=24/25 ⁡to answer the following questions. what is cos⁡ θ?

-7/25

Step-by-step explanation:

is in quadrant two given that is between 90 degrees and 180 degrees.

This means cosine value there is negative and sine value is positive.

Let's use the Pythagorean Identity: .

Subtract 576/625 on both sides:

Take the square root of both sides:

So recall that the cosine value here is negative due to the quadrant we are in.

Check:

So we got the desired result since the right hand side of our Pythagorean Identity is 1.

42.4

step-by-step explanation:

convert to decimal