What is the general solution for sin(x)=-0.15 ?

The general solution for sin(x)=-0.15 is x=-0.15056…+2pin,x=pi+0.15056…+2pin

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sin(x)=-0.15

sin (x) = - 0.15

x = - 0.15056 \dots + 2 πn, x = π + 0.15056 \dots + 2 πn

Solution steps

sin (x) = - 0.15

Apply trig inverse properties

x = arcsin (- 0.15) + 2 πn, x = π + arcsin (0.15) + 2 πn

Show solutions in decimal form

x = - 0.15056 \dots + 2 πn, x = π + 0.15056 \dots + 2 πn

74 = 58 cos (x) + 71 sin (x)

sin (\frac{1}{x}) = - 1

5 sin (x) + 4 = 0

cos^{2} (\frac{x}{2}) = 0

tan (θ) = - \frac{7}{24}

What is the general solution for sin(x)=-0.15 ?
The general solution for sin(x)=-0.15 is x=-0.15056…+2pin,x=pi+0.15056…+2pin