What is the general solution for solvefor θ,sin(θ)=-3/4 ?

The general solution for solvefor θ,sin(θ)=-3/4 is θ=-0.84806…+2pin,θ=pi+0.84806…+2pin

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solvefor θ,sin(θ)=-3/4

solve for

θ, sin (θ) = - \frac{3}{4}

θ = - 0.84806 \dots + 2 πn, θ = π + 0.84806 \dots + 2 πn

Solution steps

sin (θ) = - \frac{3}{4}

Apply trig inverse properties

θ = arcsin (- \frac{3}{4}) + 2 πn, θ = π + arcsin (\frac{3}{4}) + 2 πn

Show solutions in decimal form

θ = - 0.84806 \dots + 2 πn, θ = π + 0.84806 \dots + 2 πn

tan (x) \cdot sec (x) = 2

cos (2 x + \frac{π}{3}) = sin (2 x)

cot (2 t) = 0

tan (θ) = cot (θ), 0 \leq θ < 2 π

sec (θ) = 1.984

What is the general solution for solvefor θ,sin(θ)=-3/4 ?
The general solution for solvefor θ,sin(θ)=-3/4 is θ=-0.84806…+2pin,θ=pi+0.84806…+2pin