What is the general solution for sin(x)=-0.54 ?

The general solution for sin(x)=-0.54 is x=-0.57043…+2pin,x=pi+0.57043…+2pin

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sin(x)=-0.54

sin (x) = - 0.54

x = - 0.57043 \dots + 2 πn, x = π + 0.57043 \dots + 2 πn

Degrees

x = - 32.68363 \dots^{\circ} + 36 0^{\circ} n, x = 212.68363 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.54

Apply trig inverse properties

sin (x) = - 0.54

General solutions for

sin (x) = - 0.54

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

x = arcsin (- 0.54) + 2 πn, x = π + arcsin (0.54) + 2 πn

x = arcsin (- 0.54) + 2 πn, x = π + arcsin (0.54) + 2 πn

Show solutions in decimal form

x = - 0.57043 \dots + 2 πn, x = π + 0.57043 \dots + 2 πn

tan (2 θ) = 1.82

sin (x) = - 0.65

sin (x) = - 0.71

cos (x) tan (x) - tan (x) = 0

sin (x) = - 0.98

What is the general solution for sin(x)=-0.54 ?
The general solution for sin(x)=-0.54 is x=-0.57043…+2pin,x=pi+0.57043…+2pin