What is the general solution for sin(x)= 24/25 ?

The general solution for sin(x)= 24/25 is x=1.28700…+2pin,x=pi-1.28700…+2pin

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sin(x)= 24/25

sin (x) = \frac{24}{25}

x = 1.28700 \dots + 2 πn, x = π - 1.28700 \dots + 2 πn

Solution steps

sin (x) = \frac{24}{25}

Apply trig inverse properties

x = arcsin (\frac{24}{25}) + 2 πn, x = π - arcsin (\frac{24}{25}) + 2 πn

Show solutions in decimal form

x = 1.28700 \dots + 2 πn, x = π - 1.28700 \dots + 2 πn

arcsin (3 x - π) = \frac{1}{2}

2 cos^{2} (θ) + sin (θ) - 1 = 0

2 sin (2 x) sin (x) - 3 cos (x) = 0

sin (θ) = \frac{13}{7}

sin^{2} (θ) - cos^{2} (θ) = 1

What is the general solution for sin(x)= 24/25 ?
The general solution for sin(x)= 24/25 is x=1.28700…+2pin,x=pi-1.28700…+2pin