What is the general solution for sin(x)=-0.4 ?

The general solution for sin(x)=-0.4 is x=-0.41151…+2pin,x=pi+0.41151…+2pin

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sin(x)=-0.4

sin (x) = - 0.4

x = - 0.41151 \dots + 2 πn, x = π + 0.41151 \dots + 2 πn

Solution steps

sin (x) = - 0.4

Apply trig inverse properties

x = arcsin (- 0.4) + 2 πn, x = π + arcsin (0.4) + 2 πn

Show solutions in decimal form

x = - 0.41151 \dots + 2 πn, x = π + 0.41151 \dots + 2 πn

θ, 3 cos (θ) = 1 + cos (θ)

tan (a) = \frac{5}{12}, sin (a) < 0, sin (a) + cos (a)

cot (2 x) = 3, 0 \leq x \leq 2 π

cot (θ) = \frac{5}{3}

cos (2 θ) = \frac{3}{5}

What is the general solution for sin(x)=-0.4 ?
The general solution for sin(x)=-0.4 is x=-0.41151…+2pin,x=pi+0.41151…+2pin