What is the general solution for sin(x)= 20/29 ?

The general solution for sin(x)= 20/29 is x=0.76101…+2pin,x=pi-0.76101…+2pin

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sin(x)= 20/29

sin (x) = \frac{20}{29}

x = 0.76101 \dots + 2 πn, x = π - 0.76101 \dots + 2 πn

Degrees

x = 43.60281 \dots^{\circ} + 36 0^{\circ} n, x = 136.39718 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{20}{29}

Apply trig inverse properties

sin (x) = \frac{20}{29}

General solutions for

sin (x) = \frac{20}{29}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{20}{29}) + 2 πn, x = π - arcsin (\frac{20}{29}) + 2 πn

x = arcsin (\frac{20}{29}) + 2 πn, x = π - arcsin (\frac{20}{29}) + 2 πn

Show solutions in decimal form

x = 0.76101 \dots + 2 πn, x = π - 0.76101 \dots + 2 πn

7 cos^{2} (x) - 2 = 0

tan (\frac{θ}{2} + \frac{π}{6}) = - 1

2 sin (x) = - 3 cos (x)

cos (x) = - 0.3

4 cos (3 θ) = 0

What is the general solution for sin(x)= 20/29 ?
The general solution for sin(x)= 20/29 is x=0.76101…+2pin,x=pi-0.76101…+2pin