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Popular >

0=3sin(x+pi/2)

Solution

0 = 3 sin (x + \frac{π}{2})

Solution

x = 2 πn - \frac{π}{2}, x = π + 2 πn - \frac{π}{2}

+1

Solution steps

0 = 3 sin (x + \frac{π}{2})

Switch sides

3 sin (x + \frac{π}{2}) = 0

Divide both sides by

3

sin (x + \frac{π}{2}) = 0

General solutions for

sin (x + \frac{π}{2}) = 0

x + \frac{π}{2} = 0 + 2 πn, x + \frac{π}{2} = π + 2 πn

Solve

x + \frac{π}{2} = 0 + 2 πn : x = 2 πn - \frac{π}{2}

Solve

x + \frac{π}{2} = π + 2 πn : x = π + 2 πn - \frac{π}{2}

x = 2 πn - \frac{π}{2}, x = π + 2 πn - \frac{π}{2}

Popular Examples

- cos (t) = cos (t)

sin^2(x)-cos(2x)=-1/4

sin^{2} (x) - cos (2 x) = - \frac{1}{4}

2=cos^2(x)+sin^2(x)

2 = cos^{2} (x) + sin^{2} (x)

-5pisin((pi(t))/2)=7.071

- 5 π sin (\frac{π ( t )}{2}) = 7.071

9.8*sin(x)-19.6*cos(x)=4.7

9.8 \cdot sin (x) - 19.6 \cdot cos (x) = 4.7

Frequently Asked Questions (FAQ)

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