What is the general solution for sin(x)=-0.75 ?

The general solution for sin(x)=-0.75 is x=-0.84806…+2pin,x=pi+0.84806…+2pin

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sin(x)=-0.75

sin (x) = - 0.75

x = - 0.84806 \dots + 2 πn, x = π + 0.84806 \dots + 2 πn

Solution steps

sin (x) = - 0.75

Apply trig inverse properties

x = arcsin (- 0.75) + 2 πn, x = π + arcsin (0.75) + 2 πn

Show solutions in decimal form

x = - 0.84806 \dots + 2 πn, x = π + 0.84806 \dots + 2 πn

sin (x) = - 0.95

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

sin (x) + cos (x) = \frac{2}{2}

cos^{2} (x) = \frac{1 - sin ( 2 x )}{2}

t, A (- sin (wt + d) w) = 0

What is the general solution for sin(x)=-0.75 ?
The general solution for sin(x)=-0.75 is x=-0.84806…+2pin,x=pi+0.84806…+2pin