If sin(θ) = 0.5, what is the angle θ in degrees?

Prepare for your College Math Placement Test with our expert-crafted quiz! Practice with diverse question formats and detailed explanations to enhance your math skills and boost your confidence.

To determine the angle ( \theta ) when ( \sin(\theta) = 0.5 ), we can refer to the unit circle and the values of sine for commonly known angles.

The sine function, ( \sin(\theta) ), represents the ratio of the opposite side to the hypotenuse in a right triangle. From the unit circle, we learn that ( \sin(30^\circ) ) is equal to ( 0.5 ). Therefore, when ( \sin(\theta) = 0.5 ), one valid solution for ( \theta ) is indeed ( 30^\circ ).

Additionally, the sine function is positive in the first and second quadrants. Thus, beyond ( 30^\circ ), there is also an angle in the second quadrant where ( \sin(180^\circ - 30^\circ) = 0.5), which gives us ( 150^\circ ) as another solution. However, if we are only focusing on angles from ( 0^\circ ) to ( 180^\circ ) for typical placements in such problems, the immediate and simplest answer remains ( 30^\circ ).

Hence, the value of

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy