What is the general solution for sin(x)= 7/25 ?

The general solution for sin(x)= 7/25 is x=0.28379…+2pin,x=pi-0.28379…+2pin

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sin(x)= 7/25

sin (x) = \frac{7}{25}

x = 0.28379 \dots + 2 πn, x = π - 0.28379 \dots + 2 πn

Solution steps

sin (x) = \frac{7}{25}

Apply trig inverse properties

x = arcsin (\frac{7}{25}) + 2 πn, x = π - arcsin (\frac{7}{25}) + 2 πn

Show solutions in decimal form

x = 0.28379 \dots + 2 πn, x = π - 0.28379 \dots + 2 πn

cos (x) + 9 sin^{2} (x) = 1

- \frac{2}{3} cos (x) + \frac{2}{3} cos (2 x) = 0

sin (θ) - cos (θ) = 0

cot (3 x) = - 3, 0 \leq x \leq 2 π

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

What is the general solution for sin(x)= 7/25 ?
The general solution for sin(x)= 7/25 is x=0.28379…+2pin,x=pi-0.28379…+2pin