What is the general solution for sin(x)=0.6482078965 ?

The general solution for sin(x)=0.6482078965 is x=0.70522…+2pin,x=pi-0.70522…+2pin

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sin(x)=0.6482078965

sin (x) = 0.6482078965

x = 0.70522 \dots + 2 πn, x = π - 0.70522 \dots + 2 πn

Degrees

x = 40.40662 \dots^{\circ} + 36 0^{\circ} n, x = 139.59337 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.6482078965

Apply trig inverse properties

sin (x) = 0.6482078965

General solutions for

sin (x) = 0.6482078965

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

x = arcsin (0.6482078965) + 2 πn, x = π - arcsin (0.6482078965) + 2 πn

x = arcsin (0.6482078965) + 2 πn, x = π - arcsin (0.6482078965) + 2 πn

Show solutions in decimal form

x = 0.70522 \dots + 2 πn, x = π - 0.70522 \dots + 2 πn

tan (2 θ) = \frac{2 tan ( θ )}{1 - tan ( θ )}

sec (θ) = 15, tan (2 θ) + 125 (cos (2 θ) - 1)

2 cos (θ) + 1 = 0

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

42 tan (x) - 2 = 32 tan (x)

What is the general solution for sin(x)=0.6482078965 ?
The general solution for sin(x)=0.6482078965 is x=0.70522…+2pin,x=pi-0.70522…+2pin