What is the general solution for sin(α)=-15/17 ?

The general solution for sin(α)=-15/17 is α=-1.08083…+2pin,α=pi+1.08083…+2pin

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sin(α)=-15/17

sin (α) = - \frac{15}{17}

α = - 1.08083 \dots + 2 πn, α = π + 1.08083 \dots + 2 πn

Degrees

α = - 61.92751 \dots^{\circ} + 36 0^{\circ} n, α = 241.92751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (α) = - \frac{15}{17}

Apply trig inverse properties

sin (α) = - \frac{15}{17}

General solutions for

sin (α) = - \frac{15}{17}

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

α = arcsin (- \frac{15}{17}) + 2 πn, α = π + arcsin (\frac{15}{17}) + 2 πn

α = arcsin (- \frac{15}{17}) + 2 πn, α = π + arcsin (\frac{15}{17}) + 2 πn

Show solutions in decimal form

α = - 1.08083 \dots + 2 πn, α = π + 1.08083 \dots + 2 πn

sin (62.8 x + \frac{π}{4}) = sin (\frac{π}{4})

4 cos^{(2)} (x) - 4 cos (x) + 1 = 0

3 cos (2 x) = 3 sin (x)

4 cos (\frac{θ}{2}) + 3 = - 2 cos (θ)

8 cos (2 x) - 1 = 2

What is the general solution for sin(α)=-15/17 ?
The general solution for sin(α)=-15/17 is α=-1.08083…+2pin,α=pi+1.08083…+2pin