What is the general solution for sin(x)=(-3)/4 ?

The general solution for sin(x)=(-3)/4 is x=-0.84806…+2pin,x=pi+0.84806…+2pin

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sin(x)=(-3)/4

sin (x) = \frac{- 3}{4}

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

Solution steps

sin (x) = \frac{- 3}{4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

sin (x) = - \frac{3}{4}

Apply trig inverse properties

x = arcsin (- \frac{3}{4}) + 2 πn, x = π + arcsin (\frac{3}{4}) + 2 πn

Show solutions in decimal form

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

cot^{2} (x) - 3 cot (x) = 0

x, y = sec (x)

tan (θ) = 2

cos (a) = 0.5, tan (a) - 3

2 sin (x) - cos (x) = 1

What is the general solution for sin(x)=(-3)/4 ?
The general solution for sin(x)=(-3)/4 is x=-0.84806…+2pin,x=pi+0.84806…+2pin