What is the general solution for sin(x)= 53/59 ?

The general solution for sin(x)= 53/59 is x=1.11589…+2pin,x=pi-1.11589…+2pin

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sin(x)= 53/59

sin (x) = \frac{53}{59}

x = 1.11589 \dots + 2 πn, x = π - 1.11589 \dots + 2 πn

Solution steps

sin (x) = \frac{53}{59}

Apply trig inverse properties

x = arcsin (\frac{53}{59}) + 2 πn, x = π - arcsin (\frac{53}{59}) + 2 πn

Show solutions in decimal form

x = 1.11589 \dots + 2 πn, x = π - 1.11589 \dots + 2 πn

y, z = sin (y)

2 cos (2 x) - 1 = 1 - 2 sin (2 x)

cot^{2} (θ) + 3 csc (θ) = - 3

3 tan^{2} (α) = 3 tan (α)

cos (4 x) + cos (2 x) = 0

What is the general solution for sin(x)= 53/59 ?
The general solution for sin(x)= 53/59 is x=1.11589…+2pin,x=pi-1.11589…+2pin