Answer:
56.44°, 123.56°
Step-by-step explanation:
Given equation,
[tex]sin(\theta)=\frac{5}{6}[/tex]
[tex]\implies \theta = sin^{-1} (\frac{5}{6})[/tex]
[tex]\implies \theta =56.4426902381\approx 56.44^{\circ}[/tex]
[tex]\because 0^{\circ} \leq \theta \leq 180^{\circ}[/tex]
Sine is positive in both first and second quadrant,
Also 56.44° lies in first quadrant,
Thus, the value of [tex]\theta[/tex] in second quadrant = [tex]180^{\circ}-\theta[/tex]
= 180° - 56.44° = 123.56°,
Hence, the value of [tex]\theta[/tex] in the given equation are,
56.44° and 123.56°
