Question

Angle Relationships

When solving for x, the sine of 44° is used. What other angle and trigonometric function could be used to solve for x?

a. tan 46°
b. cos 46°
c. tan 44°
d. cos 44°

Please select the best answer from choices provided

Answer 1

B. cos 46°

Explanation:

I calculated it logically

Answer 2

b. cos 46

Explanation:

There are three angles to choose from since there are three angles in a triangle. Of these, the 90° angle can't be used (90° angles don't work with trigonometric ratios), and neither can the 44° (we're told to use a different one from this), so we're left with the unmarked angle on the bottom right. Since the angles in a triangle add to 180, and the other two angles total 134 (90+44=134), we can say this angle is 46°.

Since cos46 is our only option that involves this angle (and since cos46=x/9), this is the option which could be used to find x.