What is the general solution for sin(a)= 3/5 ?

The general solution for sin(a)= 3/5 is a=0.64350…+2pin,a=pi-0.64350…+2pin

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sin(a)= 3/5

sin (a) = \frac{3}{5}

a = 0.64350 \dots + 2 πn, a = π - 0.64350 \dots + 2 πn

Degrees

a = 36.86989 \dots^{\circ} + 36 0^{\circ} n, a = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{3}{5}

Apply trig inverse properties

sin (a) = \frac{3}{5}

General solutions for

sin (a) = \frac{3}{5}

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

a = arcsin (\frac{3}{5}) + 2 πn, a = π - arcsin (\frac{3}{5}) + 2 πn

a = arcsin (\frac{3}{5}) + 2 πn, a = π - arcsin (\frac{3}{5}) + 2 πn

Show solutions in decimal form

a = 0.64350 \dots + 2 πn, a = π - 0.64350 \dots + 2 πn

3 sec (x) = - 2

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

sin (θ) = \frac{3}{4}

3 tan (x) = 3

sin^{2} (θ) = \frac{1}{2}

What is the general solution for sin(a)= 3/5 ?
The general solution for sin(a)= 3/5 is a=0.64350…+2pin,a=pi-0.64350…+2pin