What is the general solution for 7=5sin(θ)+2 ?

The general solution for 7=5sin(θ)+2 is θ= pi/2+2pin

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7=5sin(θ)+2

7 = 5 sin (θ) + 2

θ = \frac{π}{2} + 2 πn

Solution steps

7 = 5 sin (θ) + 2

Switch sides

5 sin (θ) + 2 = 7

Move

2

to the right side

5 sin (θ) = 5

Divide both sides by

5

sin (θ) = 1

General solutions for

sin (θ) = 1

θ = \frac{π}{2} + 2 πn

2 cos^{2} (θ) - 7 cos (θ) + 3 = 0, θ

2 (sin^{2} (x)) + 5 sin (x) - 3 = 0

cos^{2} (3 x) - sin^{2} (3 x) = - 1

x, arctan (\frac{y}{x}) = \frac{π}{4}

(1 + cos (x)) (tan (x) - 1) = 0

What is the general solution for 7=5sin(θ)+2 ?
The general solution for 7=5sin(θ)+2 is θ= pi/2+2pin