What is the general solution for 5sin(θ)-3=0 ?

The general solution for 5sin(θ)-3=0 is θ=0.64350…+2pin,θ=pi-0.64350…+2pin

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5sin(θ)-3=0

5 sin (θ) - 3 = 0

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

Solution steps

5 sin (θ) - 3 = 0

Move

3

to the right side

5 sin (θ) = 3

Divide both sides by

5

sin (θ) = \frac{3}{5}

Apply trig inverse properties

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

arctan (1 + x^{2}) = 0

θ, tan (θ) = - 1

2 sin (4 x) = - 4 sin (2 x)

cos (x) = (\frac{5}{3}), cot (2 x)

\frac{sec ( x )}{tan ( x )} = \frac{cos ( x )}{( sin ^{2} ( x ) )}

What is the general solution for 5sin(θ)-3=0 ?
The general solution for 5sin(θ)-3=0 is θ=0.64350…+2pin,θ=pi-0.64350…+2pin