What is the general solution for sin(x)=0.556692 ?

The general solution for sin(x)=0.556692 is x=0.59039…+2pin,x=pi-0.59039…+2pin

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sin(x)=0.556692

sin (x) = 0.556692

x = 0.59039 \dots + 2 πn, x = π - 0.59039 \dots + 2 πn

Degrees

x = 33.82733 \dots^{\circ} + 36 0^{\circ} n, x = 146.17266 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.556692

Apply trig inverse properties

sin (x) = 0.556692

General solutions for

sin (x) = 0.556692

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

x = arcsin (0.556692) + 2 πn, x = π - arcsin (0.556692) + 2 πn

x = arcsin (0.556692) + 2 πn, x = π - arcsin (0.556692) + 2 πn

Show solutions in decimal form

x = 0.59039 \dots + 2 πn, x = π - 0.59039 \dots + 2 πn

tan^{2} (x) + 4 tan (x) + 3 = 0

(1 + tan (x))^{2} + (1 - tan (x))^{2} = sec^{2} (x)

tan (x) = - \frac{2}{2}

cot (x) = 1.2

cos (\frac{3}{2} π - x) + sin (4 x) = 0

What is the general solution for sin(x)=0.556692 ?
The general solution for sin(x)=0.556692 is x=0.59039…+2pin,x=pi-0.59039…+2pin