If sin(θ) = 1/2, what is the possible value of θ? (2022)

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Question: If sin(θ) = 1/2, what is the possible value of θ? (2022)

Options:

Correct Answer: 30°

Solution:

sin(30°) = 1/2, so θ = 30°.

If sin(θ) = 1/2, what is the possible value of θ? (2022)

If sin(θ) = 1/2, what is the possible value of θ? (2022)

Step 1: Understand that sin(θ) = 1/2 means we are looking for an angle θ where the sine value is 1/2.
Step 2: Recall that the sine of an angle in a right triangle is the ratio of the opposite side to the hypotenuse.
Step 3: Remember that sin(30°) is a well-known value, which equals 1/2.
Step 4: Therefore, one possible value of θ is 30°.
Step 5: Note that sine is positive in the first and second quadrants, so another possible value is θ = 180° - 30° = 150°.

Trigonometric Functions – Understanding the sine function and its values for specific angles.
Angle Measurement – Recognizing angles in degrees and their corresponding sine values.
Multiple Solutions – Identifying that trigonometric equations can have multiple solutions within a given range.