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Popular >

-sin(x-pi/2)=1-sin(x-(3pi)/2)

Solution

- sin (x - \frac{π}{2}) = 1 - sin (x - \frac{3 π}{2})

Solution

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

+1

Solution steps

- sin (x - \frac{π}{2}) = 1 - sin (x - \frac{3 π}{2})

Rewrite using trig identities

cos (x) = 1 - cos (x)

Subtract

1 - cos (x)

from both sides

2 cos (x) - 1 = 0

Move

1

to the right side

2 cos (x) = 1

Divide both sides by

2

cos (x) = \frac{1}{2}

General solutions for

cos (x) = \frac{1}{2}

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Popular Examples

7(sin(x))(cos(x))+cos^2(x)=1

7 (sin (x)) (cos (x)) + cos^{2} (x) = 1

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2 sec (x) = tan (x) + cot (x)

sqrt(3)sin(2x)=cos(2x)

3 sin (2 x) = cos (2 x)

2sin(6x)+sqrt(3)=0

2 sin (6 x) + 3 = 0

sin^2(θ)+2sin(θ)+1=0

sin^{2} (θ) + 2 sin (θ) + 1 = 0

Frequently Asked Questions (FAQ)

What is the general solution for -sin(x-pi/2)=1-sin(x-(3pi)/2) ?
The general solution for -sin(x-pi/2)=1-sin(x-(3pi)/2) is x= pi/3+2pin,x=(5pi)/3+2pin