What is the general solution for sin(x)= 7/15 ?

The general solution for sin(x)= 7/15 is x=0.48551…+2pin,x=pi-0.48551…+2pin

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sin(x)= 7/15

sin (x) = \frac{7}{15}

x = 0.48551 \dots + 2 πn, x = π - 0.48551 \dots + 2 πn

Degrees

x = 27.81813 \dots^{\circ} + 36 0^{\circ} n, x = 152.18186 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{7}{15}

Apply trig inverse properties

sin (x) = \frac{7}{15}

General solutions for

sin (x) = \frac{7}{15}

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

x = arcsin (\frac{7}{15}) + 2 πn, x = π - arcsin (\frac{7}{15}) + 2 πn

x = arcsin (\frac{7}{15}) + 2 πn, x = π - arcsin (\frac{7}{15}) + 2 πn

Show solutions in decimal form

x = 0.48551 \dots + 2 πn, x = π - 0.48551 \dots + 2 πn

3 sec (x) = 9

cos^{2} (x) + 2 cos (x) + 1 = 0, 0 \leq x \leq 2 π

x, sin (2 x) = \frac{1}{2}

- 4 sin (x) = - cos^{2} (x) + 4, 0 \leq x \leq 2 π

2 sin (θ) cos (θ) - cos (θ) = 0

What is the general solution for sin(x)= 7/15 ?
The general solution for sin(x)= 7/15 is x=0.48551…+2pin,x=pi-0.48551…+2pin