What is the general solution for sin(x)=0.8246 ?

The general solution for sin(x)=0.8246 is x=0.96949…+2pin,x=pi-0.96949…+2pin

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sin(x)=0.8246

sin (x) = 0.8246

x = 0.96949 \dots + 2 πn, x = π - 0.96949 \dots + 2 πn

Solution steps

sin (x) = 0.8246

Apply trig inverse properties

x = arcsin (0.8246) + 2 πn, x = π - arcsin (0.8246) + 2 πn

Show solutions in decimal form

x = 0.96949 \dots + 2 πn, x = π - 0.96949 \dots + 2 πn

cos^{3} (x) + cos (x) = 0

sin (θ) = \frac{1}{3}, cos (θ) = \frac{2 2}{3}

sin (2 x) = \frac{3}{4}

sin (3 θ) - sin (5 θ) = sin (θ), 0 \leq θ \leq \frac{π}{2}

4 sin (2 θ) - 1 = 0

What is the general solution for sin(x)=0.8246 ?
The general solution for sin(x)=0.8246 is x=0.96949…+2pin,x=pi-0.96949…+2pin