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 = 216.86989 \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

sin (2 x) = \frac{2 \cdot ( 1 \cdot 1 0 ^{12} )}{( 1 \cdot 1 0 ^{7} ) ^{2}}

1 + sin (θ) = \frac{( 3 + 2 )}{2}

- cos (θ) = - cos (2 θ)

cos (x) = \frac{4}{3.3 8 ^{2} + 4 ^{2}}

x, y = \frac{1}{π} arctan (\frac{x}{s}) + \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