What is the general solution for sin(x)=0.9063 ?

The general solution for sin(x)=0.9063 is x=1.13444…+2pin,x=pi-1.13444…+2pin

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sin(x)=0.9063

sin (x) = 0.9063

x = 1.13444 \dots + 2 πn, x = π - 1.13444 \dots + 2 πn

Degrees

x = 64.99894 \dots^{\circ} + 36 0^{\circ} n, x = 115.00105 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.9063

Apply trig inverse properties

sin (x) = 0.9063

General solutions for

sin (x) = 0.9063

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (0.9063) + 2 πn, x = π - arcsin (0.9063) + 2 πn

x = arcsin (0.9063) + 2 πn, x = π - arcsin (0.9063) + 2 πn

Show solutions in decimal form

x = 1.13444 \dots + 2 πn, x = π - 1.13444 \dots + 2 πn

11 = 12 + 3.5 sin (\frac{2 π}{365} t)

sin (2 t) = 2 sin (t)

cos (α) = 0

x, cos (x^{3} y^{3}) = 5 y^{3}

cos^{2} (\frac{3}{4} π + x) + sin^{2} (\frac{7}{4} π - x) = 1

What is the general solution for sin(x)=0.9063 ?
The general solution for sin(x)=0.9063 is x=1.13444…+2pin,x=pi-1.13444…+2pin