What is the general solution for sin(x)=0.9205 ?

The general solution for sin(x)=0.9205 is x=1.16935…+2pin,x=pi-1.16935…+2pin

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sin(x)=0.9205

sin (x) = 0.9205

x = 1.16935 \dots + 2 πn, x = π - 1.16935 \dots + 2 πn

Degrees

x = 66.99928 \dots^{\circ} + 36 0^{\circ} n, x = 113.00071 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.9205

Apply trig inverse properties

sin (x) = 0.9205

General solutions for

sin (x) = 0.9205

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

x = arcsin (0.9205) + 2 πn, x = π - arcsin (0.9205) + 2 πn

x = arcsin (0.9205) + 2 πn, x = π - arcsin (0.9205) + 2 πn

Show solutions in decimal form

x = 1.16935 \dots + 2 πn, x = π - 1.16935 \dots + 2 πn

sin^{2} (x) + 3 sin (x) = - 2, 0 \leq x \leq 2 π

x, - cos (x) = - sin^{2} (x) - 1

5 sin (x) - 2 sin^{2} (x) - 2 = 0

sin (x) - cos (x) = \frac{7}{5}

cos (a) + cos (2 a) = - 0.75

What is the general solution for sin(x)=0.9205 ?
The general solution for sin(x)=0.9205 is x=1.16935…+2pin,x=pi-1.16935…+2pin