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

The general solution for sin(x)+2sin(x)=5 is No Solution for x\in\mathbb{R}

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sin(x)+2sin(x)=5

sin (x) + 2 sin (x) = 5

No Solution for x \in R

Solution steps

sin (x) + 2 sin (x) = 5

Simplify

sin (x) + 2 sin (x) : 3 sin (x)

sin (x) + 2 sin (x)

Add similar elements:

sin (x) + 2 sin (x) = 3 sin (x)

= 3 sin (x)

3 sin (x) = 5

Divide both sides by

3

3 sin (x) = 5

Divide both sides by

3

\frac{3 sin ( x )}{3} = \frac{5}{3}

Simplify

sin (x) = \frac{5}{3}

sin (x) = \frac{5}{3}

- 1 \leq sin (x) \leq 1

No Solution for x \in R

cos (θ) = - \frac{3}{10}

2 cos^{3} (x) = 0

50 sin (x) + 15 cos (x) = 40, 0 < x < π

sec^{2} (θ) + sec (θ) = 6

10 sin (x) cos (x) = 6 cos (x)

What is the general solution for sin(x)+2sin(x)=5 ?
The general solution for sin(x)+2sin(x)=5 is No Solution for x\in\mathbb{R}