What is the general solution for sin(θ)= 6/10 ?

The general solution for sin(θ)= 6/10 is θ=0.64350…+2pin,θ=pi-0.64350…+2pin

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sin(θ)= 6/10

sin (θ) = \frac{6}{10}

θ = 0.64350 \dots + 2 πn, θ = π - 0.64350 \dots + 2 πn

Degrees

θ = 36.86989 \dots^{\circ} + 36 0^{\circ} n, θ = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{6}{10}

Cancel the common factor:

2

sin (θ) = \frac{3}{5}

Apply trig inverse properties

sin (θ) = \frac{3}{5}

General solutions for

sin (θ) = \frac{3}{5}

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

θ = arcsin (\frac{3}{5}) + 2 πn, θ = π - arcsin (\frac{3}{5}) + 2 πn

θ = arcsin (\frac{3}{5}) + 2 πn, θ = π - arcsin (\frac{3}{5}) + 2 πn

Show solutions in decimal form

θ = 0.64350 \dots + 2 πn, θ = π - 0.64350 \dots + 2 πn

sin (θ) = \frac{6}{13}

2 sin (3 0^{\circ} + x) = 3 cos (x)

- 33 cot (θ) + 5 = 14

y, d = arctan (\frac{10}{\frac{y}{67} \cdot 1000})

2 arccos (x) = π

What is the general solution for sin(θ)= 6/10 ?
The general solution for sin(θ)= 6/10 is θ=0.64350…+2pin,θ=pi-0.64350…+2pin