What is the general solution for sin(x)=-0.9 ?

The general solution for sin(x)=-0.9 is x=-1.11976…+2pin,x=pi+1.11976…+2pin

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sin(x)=-0.9

sin (x) = - 0.9

x = - 1.11976 \dots + 2 πn, x = π + 1.11976 \dots + 2 πn

Solution steps

sin (x) = - 0.9

Apply trig inverse properties

x = arcsin (- 0.9) + 2 πn, x = π + arcsin (0.9) + 2 πn

Show solutions in decimal form

x = - 1.11976 \dots + 2 πn, x = π + 1.11976 \dots + 2 πn

1 = tan (\frac{π}{4} + c)

cos (θ) - cos (3 θ) = 0

- tan (2 θ) + 2 sin (θ) = 0, 0 \leq θ < 2 π

cos (x) = \frac{2 tan ( x )}{1 + tan ^{2} ( x )}

(1 + cos (4 x)) sin (2 x) = cos^{2} (2 x)

What is the general solution for sin(x)=-0.9 ?
The general solution for sin(x)=-0.9 is x=-1.11976…+2pin,x=pi+1.11976…+2pin