What is the general solution for sin(x)=0.95 ?

The general solution for sin(x)=0.95 is x=1.25323…+2pin,x=pi-1.25323…+2pin

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sin(x)=0.95

sin (x) = 0.95

x = 1.25323 \dots + 2 πn, x = π - 1.25323 \dots + 2 πn

Degrees

x = 71.80512 \dots^{\circ} + 36 0^{\circ} n, x = 108.19487 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.95

Apply trig inverse properties

sin (x) = 0.95

General solutions for

sin (x) = 0.95

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

x = arcsin (0.95) + 2 πn, x = π - arcsin (0.95) + 2 πn

x = arcsin (0.95) + 2 πn, x = π - arcsin (0.95) + 2 πn

Show solutions in decimal form

x = 1.25323 \dots + 2 πn, x = π - 1.25323 \dots + 2 πn

sin^{2} (x) = 2 cos^{2} (\frac{x}{2})

- cos (a) - 11 = 2 cos (a) - 9

4 - 2 sin (x) = 0

sin^{2} (θ) - 2 sin (θ) + 3 = 0

3 tan^{2} (θ) + 3 tan (θ) = 0, 0^{\circ} \leq θ \leq 36 0^{\circ}

What is the general solution for sin(x)=0.95 ?
The general solution for sin(x)=0.95 is x=1.25323…+2pin,x=pi-1.25323…+2pin