What is the general solution for sin(θ)=(3.5)/5 ?

The general solution for sin(θ)=(3.5)/5 is θ=0.77539…+2pin,θ=pi-0.77539…+2pin

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sin(θ)=(3.5)/5

sin (θ) = \frac{3.5}{5}

θ = 0.77539 \dots + 2 πn, θ = π - 0.77539 \dots + 2 πn

Solution steps

sin (θ) = \frac{3.5}{5}

Apply trig inverse properties

θ = arcsin (\frac{3.5}{5}) + 2 πn, θ = π - arcsin (\frac{3.5}{5}) + 2 πn

Show solutions in decimal form

θ = 0.77539 \dots + 2 πn, θ = π - 0.77539 \dots + 2 πn

sec (a) = \frac{41}{12}, 2 π < a < \frac{5 π}{2}, sin (\frac{a}{2})

sin (2 x) = 0.3

sin (2 x) = 0.6

- 2 cos (t) = 0

4 cos^{2} (θ) - 4 cos (θ) - 3 = 0

What is the general solution for sin(θ)=(3.5)/5 ?
The general solution for sin(θ)=(3.5)/5 is θ=0.77539…+2pin,θ=pi-0.77539…+2pin