What is the general solution for 4sin(θ)-2sqrt(2)=0 ?

The general solution for 4sin(θ)-2sqrt(2)=0 is θ= pi/4+2pin,θ=(3pi)/4+2pin

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4sin(θ)-2sqrt(2)=0

4 sin (θ) - 22 = 0

θ = \frac{π}{4} + 2 πn, θ = \frac{3 π}{4} + 2 πn

Solution steps

4 sin (θ) - 22 = 0

Move

22

to the right side

4 sin (θ) = 22

Divide both sides by

4

sin (θ) = \frac{2}{2}

General solutions for

sin (θ) = \frac{2}{2}

θ = \frac{π}{4} + 2 πn, θ = \frac{3 π}{4} + 2 πn

sec (θ) = \frac{2}{3}

3 cos (2 θ) - 5 sin (θ) - 9 = - 5

tan (x) = 1, 0 \leq x \leq 2 π

csc (θ) = - 2, π < θ < 3 π^{2} t h (θ, t) e n, cot (θ)

sin (θ) = 0.9

What is the general solution for 4sin(θ)-2sqrt(2)=0 ?
The general solution for 4sin(θ)-2sqrt(2)=0 is θ= pi/4+2pin,θ=(3pi)/4+2pin