What is the general solution for sin(x)=-(sqrt(5))/3 ?

The general solution for sin(x)=-(sqrt(5))/3 is x=-0.84106…+2pin,x=pi+0.84106…+2pin

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sin(x)=-(sqrt(5))/3

sin (x) = - \frac{5}{3}

x = - 0.84106 \dots + 2 πn, x = π + 0.84106 \dots + 2 πn

Solution steps

sin (x) = - \frac{5}{3}

Apply trig inverse properties

x = arcsin (- \frac{5}{3}) + 2 πn, x = π + arcsin (\frac{5}{3}) + 2 πn

Show solutions in decimal form

x = - 0.84106 \dots + 2 πn, x = π + 0.84106 \dots + 2 πn

tan (a) = 2.4

cos (x) - sin (x) = 1, 0 \leq x \leq 2 π

2 sin^{2} (θ) - 11 sin (θ) + 9 = 0

6 sin^{2} (4 x) - 4 = 0

tan (θ) + 3 = sec (θ)

What is the general solution for sin(x)=-(sqrt(5))/3 ?
The general solution for sin(x)=-(sqrt(5))/3 is x=-0.84106…+2pin,x=pi+0.84106…+2pin