What is the general solution for sin(x)=-0.1 ?

The general solution for sin(x)=-0.1 is x=-0.10016…+2pin,x=pi+0.10016…+2pin

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sin(x)=-0.1

sin (x) = - 0.1

x = - 0.10016 \dots + 2 πn, x = π + 0.10016 \dots + 2 πn

Degrees

x = - 5.73917 \dots^{\circ} + 36 0^{\circ} n, x = 185.73917 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.1

Apply trig inverse properties

sin (x) = - 0.1

General solutions for

sin (x) = - 0.1

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

x = arcsin (- 0.1) + 2 πn, x = π + arcsin (0.1) + 2 πn

x = arcsin (- 0.1) + 2 πn, x = π + arcsin (0.1) + 2 πn

Show solutions in decimal form

x = - 0.10016 \dots + 2 πn, x = π + 0.10016 \dots + 2 πn

189.4 = 100 tan^{2} (4 5^{\circ} + \frac{θ}{2})

csc (θ) = 1 + cot (θ)

cos (2 x) = 0.98

8 sin^{2} (x) + 2 sin (x) - 3 = 0

2 (arcsin (x))^{2} + (2 - π) arcsin (x) - π = 0

What is the general solution for sin(x)=-0.1 ?
The general solution for sin(x)=-0.1 is x=-0.10016…+2pin,x=pi+0.10016…+2pin