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 = 146.44269 \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

x, 5 cos (5 x) = 0

sin (3 x) - sin (5 x) = 0

tan (x) = \frac{5}{13}

2 sec (θ) - 7 = 0

tan (x) = 23

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