What is the general solution for sin(a)=0.5937 ?

The general solution for sin(a)=0.5937 is a=0.63564…+2pin,a=pi-0.63564…+2pin

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sin(a)=0.5937

sin (a) = 0.5937

a = 0.63564 \dots + 2 πn, a = π - 0.63564 \dots + 2 πn

Solution steps

sin (a) = 0.5937

Apply trig inverse properties

a = arcsin (0.5937) + 2 πn, a = π - arcsin (0.5937) + 2 πn

Show solutions in decimal form

a = 0.63564 \dots + 2 πn, a = π - 0.63564 \dots + 2 πn

tan (x) = \frac{18}{25}

sin^{2} (x) = \frac{3}{2}

1.5 = 1 + sin (\frac{x}{3})

3 \cdot tan (x) + 2 sec (x) = 1

cos^{2} (a) = 2 cos^{2} (a) - 1

What is the general solution for sin(a)=0.5937 ?
The general solution for sin(a)=0.5937 is a=0.63564…+2pin,a=pi-0.63564…+2pin