What is the general solution for sin(x)=-0.135 ?

The general solution for sin(x)=-0.135 is x=-0.13541…+2pin,x=pi+0.13541…+2pin

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sin(x)=-0.135

sin (x) = - 0.135

x = - 0.13541 \dots + 2 πn, x = π + 0.13541 \dots + 2 πn

Degrees

x = - 7.75861 \dots^{\circ} + 36 0^{\circ} n, x = 187.75861 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.135

Apply trig inverse properties

sin (x) = - 0.135

General solutions for

sin (x) = - 0.135

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

x = arcsin (- 0.135) + 2 πn, x = π + arcsin (0.135) + 2 πn

x = arcsin (- 0.135) + 2 πn, x = π + arcsin (0.135) + 2 πn

Show solutions in decimal form

x = - 0.13541 \dots + 2 πn, x = π + 0.13541 \dots + 2 πn

1 - csc^{2} (x) = cot^{2} (x)

sin (a) = 0.527

2 + 2 sin (θ) = 7 sin (θ)

sin (2 x) = 0.03

0 = - 3 + 2 sin (x)

What is the general solution for sin(x)=-0.135 ?
The general solution for sin(x)=-0.135 is x=-0.13541…+2pin,x=pi+0.13541…+2pin