Question

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 the choices provided

Explanation:

Step1: Find the other non - right angle

In a right - triangle, the sum of the two non - right angles is 90°. Given one non - right angle is 44°, the other non - right angle is 90° - 44°=46°.

Step2: Recall trigonometric relationships

We know that $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$ and $\cos(90^{\circ}-\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$. If $\sin44^{\circ}=\frac{x}{9}$ (assuming the hypotenuse is 9), then $\cos46^{\circ}=\frac{x}{9}$ since $46^{\circ}=90^{\circ}-44^{\circ}$.

Answer:

B. $\cos46^{\circ}$