What is the general solution for 4sin(θ)+3=5 ?

The general solution for 4sin(θ)+3=5 is θ= pi/6+2pin,θ=(5pi)/6+2pin

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4sin(θ)+3=5

4 sin (θ) + 3 = 5

θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn

Solution steps

4 sin (θ) + 3 = 5

Move

3

to the right side

4 sin (θ) = 2

Divide both sides by

4

sin (θ) = \frac{1}{2}

General solutions for

sin (θ) = \frac{1}{2}

θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn

5 sin (x) cos (x) = 7 cos (x)

tan (\frac{θ}{2}) - sin (θ) = 0

- 5 cos (x) = - 2 sin^{2} (x) + 4

cos (θ) cos (2 θ) + sin (θ) sin (2 θ) = \frac{2}{2}

sec^{2} (x) - 2 tan (x) = 4

What is the general solution for 4sin(θ)+3=5 ?
The general solution for 4sin(θ)+3=5 is θ= pi/6+2pin,θ=(5pi)/6+2pin