What is the general solution for sin(x)=0.01 ?

The general solution for sin(x)=0.01 is x=0.01000…+2pin,x=pi-0.01000…+2pin

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sin(x)=0.01

sin (x) = 0.01

x = 0.01000 \dots + 2 πn, x = π - 0.01000 \dots + 2 πn

Degrees

x = 0.57296 \dots^{\circ} + 36 0^{\circ} n, x = 179.42703 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.01

Apply trig inverse properties

sin (x) = 0.01

General solutions for

sin (x) = 0.01

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

x = arcsin (0.01) + 2 πn, x = π - arcsin (0.01) + 2 πn

x = arcsin (0.01) + 2 πn, x = π - arcsin (0.01) + 2 πn

Show solutions in decimal form

x = 0.01000 \dots + 2 πn, x = π - 0.01000 \dots + 2 πn

sin (x) - sin (2 x) = sin^{3} (x)

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

sin (x) = \frac{4}{5}, \frac{π}{2} \leq 0 < π, sin (2 x)

2 cos^{2} (θ) - 3 cos (θ) + 1 = 0, \frac{3 π}{2} < θ < 2 π

- 2 cos^{2} (x) + cos (x) = 0

What is the general solution for sin(x)=0.01 ?
The general solution for sin(x)=0.01 is x=0.01000…+2pin,x=pi-0.01000…+2pin