What is the general solution for sin(θ)=0.3907 ?

The general solution for sin(θ)=0.3907 is θ=0.40139…+2pin,θ=pi-0.40139…+2pin

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sin(θ)=0.3907

sin (θ) = 0.3907

θ = 0.40139 \dots + 2 πn, θ = π - 0.40139 \dots + 2 πn

Solution steps

sin (θ) = 0.3907

Apply trig inverse properties

θ = arcsin (0.3907) + 2 πn, θ = π - arcsin (0.3907) + 2 πn

Show solutions in decimal form

θ = 0.40139 \dots + 2 πn, θ = π - 0.40139 \dots + 2 πn

2 cos (4 x) - 3 = 0

tan (x) = sec^{2} (x)

sin (x) = 0, 8

sin (x) tan (x) = - 2 - cot (x) sin (x)

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

What is the general solution for sin(θ)=0.3907 ?
The general solution for sin(θ)=0.3907 is θ=0.40139…+2pin,θ=pi-0.40139…+2pin