What is the general solution for sin(x)=-0.25 ?

The general solution for sin(x)=-0.25 is x=-0.25268…+2pin,x=pi+0.25268…+2pin

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sin(x)=-0.25

sin (x) = - 0.25

x = - 0.25268 \dots + 2 πn, x = π + 0.25268 \dots + 2 πn

Degrees

x = - 14.47751 \dots^{\circ} + 36 0^{\circ} n, x = 194.47751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.25

Apply trig inverse properties

sin (x) = - 0.25

General solutions for

sin (x) = - 0.25

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

x = arcsin (- 0.25) + 2 πn, x = π + arcsin (0.25) + 2 πn

x = arcsin (- 0.25) + 2 πn, x = π + arcsin (0.25) + 2 πn

Show solutions in decimal form

x = - 0.25268 \dots + 2 πn, x = π + 0.25268 \dots + 2 πn

arctan (3)

csc (\frac{11 π}{6})

tan (2 π)

3 sin (θ) = cos (θ)

sin (2 θ) - cos (θ) = 0

What is the general solution for sin(x)=-0.25 ?
The general solution for sin(x)=-0.25 is x=-0.25268…+2pin,x=pi+0.25268…+2pin