What is the general solution for sin(x)= 24/27 ?

The general solution for sin(x)= 24/27 is x=1.09491…+2pin,x=pi-1.09491…+2pin

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sin(x)= 24/27

sin (x) = \frac{24}{27}

x = 1.09491 \dots + 2 πn, x = π - 1.09491 \dots + 2 πn

Solution steps

sin (x) = \frac{24}{27}

Cancel the common factor:

3

sin (x) = \frac{8}{9}

Apply trig inverse properties

x = arcsin (\frac{8}{9}) + 2 πn, x = π - arcsin (\frac{8}{9}) + 2 πn

Show solutions in decimal form

x = 1.09491 \dots + 2 πn, x = π - 1.09491 \dots + 2 πn

cot^{2} (x) = 0

4 cos^{2} (x) + 5 sin (x) = 3

cos^{4} (x) = cos^{4} (x) csc (x)

tan (θ) - 6 = - 2 - 3 tan (θ)

73500 = 130000 \cdot sin (x) + 0.15 \cdot 130000 \cdot cos (x)

What is the general solution for sin(x)= 24/27 ?
The general solution for sin(x)= 24/27 is x=1.09491…+2pin,x=pi-1.09491…+2pin