Question

When solving for x, the sine of 44º is used. What other angle and trigonometric function could be used to solve for x? a. tan 46º c. tan 44º b. cos 46º d. cos 44º

Answer 1

cos46°

Explanation:

Using the co function identity

sin x° = cos(90 - x)°, hence

sin44° = cos(90 - 44)° = cos46°

Answer 2

Answer: The correct option is (b) cos 46°.

Step-by-step explanation: Given that when solving for x, the sine of 44º is used.

We are to select the other angle and trigonometric function that could be used to solve for x.

We know that,

the sine of any acute angle is equal to the cosine of its complement.

That is,

if y denotes the measure of any acute angle, then we have

`\sin y=\cos(90^\circ-y).`

Therefore, if y = 44°, then we get

`\sin 44^\circ=\cos(90^\circ-44^\circ)=\cos 46^\circ.`

Thus, the other angle and the trigonometric function that could be used to solve for x is cos 46°.

Option (b) is CORRECT.