What is the general solution for sin(θ)=-(sqrt(11))/6 ?

The general solution for sin(θ)=-(sqrt(11))/6 is θ=-0.58568…+2pin,θ=pi+0.58568…+2pin

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sin(θ)=-(sqrt(11))/6

sin (θ) = - \frac{11}{6}

θ = - 0.58568 \dots + 2 πn, θ = π + 0.58568 \dots + 2 πn

Degrees

θ = - 33.55730 \dots^{\circ} + 36 0^{\circ} n, θ = 213.55730 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - \frac{11}{6}

Apply trig inverse properties

sin (θ) = - \frac{11}{6}

General solutions for

sin (θ) = - \frac{11}{6}

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

θ = arcsin (- \frac{11}{6}) + 2 πn, θ = π + arcsin (\frac{11}{6}) + 2 πn

θ = arcsin (- \frac{11}{6}) + 2 πn, θ = π + arcsin (\frac{11}{6}) + 2 πn

Show solutions in decimal form

θ = - 0.58568 \dots + 2 πn, θ = π + 0.58568 \dots + 2 πn

tan (θ) = \frac{3}{1}

cos (θ) = - \frac{4}{7}

3 sinh (x) + cosh (x) = - 2

cos (2 + 3 \cdot x) - cos (- 0.5) = 0

2 cos (θ) = 1, 0 \leq θ \leq 2 π

What is the general solution for sin(θ)=-(sqrt(11))/6 ?
The general solution for sin(θ)=-(sqrt(11))/6 is θ=-0.58568…+2pin,θ=pi+0.58568…+2pin