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

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

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sin(θ)=-15/17

sin (θ) = - \frac{15}{17}

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

Solution steps

sin (θ) = - \frac{15}{17}

Apply trig inverse properties

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

Show solutions in decimal form

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

tan (θ) = - \frac{3}{2}

2 cos (2 x) cos (x) + 2 sin (2 x) sin (x) = - 1

5 cos (3 x) = 4

tan (\frac{θ}{2} + \frac{π}{4}) = - 1

2 cos^{2} (θ) - 11 cos (θ) + 5 = 0

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