If $\sin \theta = \frac { \sqrt { 2 } } { 2 }$ ,find the value of ? in degrees $\left( 0

Name: If $\sin \theta = \frac { \sqrt { 2 } } { 2 }$ ,find the value of ? in degrees $\left( 0 < \theta < 90 ^ { \circ } \right)$ without the aid of a calculator. A)?? = 45° B)?? = 30° C)?? = 15° D)?? = 90° E)?? = 75°
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Question

If $\sin \theta = \frac { \sqrt { 2 } } { 2 }$ ,find the value of ? in degrees $\left( 0 < \theta < 90 ^ { \circ } \right)$ without the aid of a calculator.
A)?? = 45°
B)?? = 30°
C)?? = 15°
D)?? = 90°
E)?? = 75°

Quizplus · Accepted Answer

The value of $\sin \theta = \frac{\sqrt{2}}{2}$ corresponds to an angle of 45° in the first quadrant, where both sine and cosine values are positive and equal for this specific angle.

If sin⁡θ=22\sin \theta = \frac { \sqrt { 2 } } { 2 }sinθ=22​​

If $\sin \theta = \frac { \sqrt { 2 } } { 2 }$