What is the general solution for sin(a)=(((8))/((sqrt(153)))) ?

The general solution for sin(a)=(((8))/((sqrt(153)))) is a=0.70333…+2pin,a=pi-0.70333…+2pin

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sin(a)=(((8))/((sqrt(153))))

sin (a) = (\frac{( 8 )}{( 153 )})

a = 0.70333 \dots + 2 πn, a = π - 0.70333 \dots + 2 πn

Solution steps

sin (a) = (\frac{( 8 )}{( 153 )})

Simplify

\frac{8}{153} : \frac{8 17}{51}

Apply trig inverse properties

a = arcsin (\frac{8 17}{51}) + 2 πn, a = π - arcsin (\frac{8 17}{51}) + 2 πn

Show solutions in decimal form

a = 0.70333 \dots + 2 πn, a = π - 0.70333 \dots + 2 πn

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sec^{2} (a) = \frac{4}{3}

sin (5 x - 27) = cos (6 x + 13.6)

sin (x) = \frac{1}{cos ( - 10 0 ^{\circ} )}

What is the general solution for sin(a)=(((8))/((sqrt(153)))) ?
The general solution for sin(a)=(((8))/((sqrt(153)))) is a=0.70333…+2pin,a=pi-0.70333…+2pin