What is the general solution for sin(x)= 7/8 ?

The general solution for sin(x)= 7/8 is x=1.06543…+2pin,x=pi-1.06543…+2pin

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sin(x)= 7/8

sin (x) = \frac{7}{8}

x = 1.06543 \dots + 2 πn, x = π - 1.06543 \dots + 2 πn

Solution steps

sin (x) = \frac{7}{8}

Apply trig inverse properties

x = arcsin (\frac{7}{8}) + 2 πn, x = π - arcsin (\frac{7}{8}) + 2 πn

Show solutions in decimal form

x = 1.06543 \dots + 2 πn, x = π - 1.06543 \dots + 2 πn

3 cos (2 x) - 2 cos^{2} (x) - 5 = 2 cos^{2} (x) - 7

sin (3 x + 48) = cos (1 0^{\circ} - x)

0 = sin (5 x)

2 sin (\frac{θ}{3}) + 3 = 0, 0 \leq θ \leq 2 π

sin (2 x) - 2 sin (x) = 0, 0 \leq x \leq 2 π

What is the general solution for sin(x)= 7/8 ?
The general solution for sin(x)= 7/8 is x=1.06543…+2pin,x=pi-1.06543…+2pin