What is the general solution for sin(x)=15 ?

The general solution for sin(x)=15 is x=0.26488…+360n,x=180-0.26488…+360n

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sin(x)=15

sin (x) = 1 5^{\circ}

x = 0.26488 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.26488 \dots + 36 0^{\circ} n

Radians

x = 0.26488 \dots + 2 πn, x = π - 0.26488 \dots + 2 πn

Solution steps

sin (x) = 1 5^{\circ}

Apply trig inverse properties

sin (x) = 1 5^{\circ}

General solutions for

sin (x) = 1 5^{\circ}

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (1 5^{\circ}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (1 5^{\circ}) + 36 0^{\circ} n

x = arcsin (1 5^{\circ}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (1 5^{\circ}) + 36 0^{\circ} n

Show solutions in decimal form

x = 0.26488 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.26488 \dots + 36 0^{\circ} n

cos (a) = 0.42

\frac{6}{sin ( 6 0 ^{\circ} )} = \frac{4}{sin ( x )}

10 = 14 + 8 sin (\frac{π t}{12})

sin (4 x) cos (x) - cos (4 x) sin (x) = 1

sec (θ) = \frac{10}{6}

What is the general solution for sin(x)=15 ?
The general solution for sin(x)=15 is x=0.26488…+360n,x=180-0.26488…+360n