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

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

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sin(α)= 3/5

sin (α) = \frac{3}{5}

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

Degrees

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

Solution steps

sin (α) = \frac{3}{5}

Apply trig inverse properties

sin (α) = \frac{3}{5}

General solutions for

sin (α) = \frac{3}{5}

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

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

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

Show solutions in decimal form

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

x, tan^{2} (x) = 1

x, tan^{2} (x) = 2

x, \frac{p}{q} = sin^{2} (x)

cos (2 x) = 1 - 2 (\frac{3}{5})^{2}

sin (θ + \frac{π}{3}) = \frac{1}{2}

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