Find a value of θ in [0°, 90°] that satisfies the statement. Leave answer in decimal degrees rounded to seven decimal
places, if necessary.
-$\sin \theta = 0.31705927$
A) $71.5148251 ^ { \circ }$
B) $161.514825 ^ { \circ }$
C) $198.485175 ^ { \circ }$
D) $18.4851749 ^ { \circ }$

Question

Quizplus · Accepted Answer

To find the value of θ that satisfies $\sin \theta = 0.31705927$ within the range [0°, 90°], we use the inverse sine function (sin^-1 or arcsin) on a calculator. Performing this calculation gives θ ≈ 18.4851749°, which matches option D.

Find a Value of θ in [0°, 90°] That Satisfies sin⁡θ=0.31705927\sin \theta = 0.31705927sinθ=0.31705927

Find a Value of θ in [0°, 90°] That Satisfies $\sin \theta = 0.31705927$