What is the general solution for 4cos(x)-4sin(x)=0 ?

The general solution for 4cos(x)-4sin(x)=0 is x= pi/4+pin

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4cos(x)-4sin(x)=0

4 cos (x) - 4 sin (x) = 0

x = \frac{π}{4} + πn

Solution steps

4 cos (x) - 4 sin (x) = 0

Rewrite using trig identities

4 - 4 tan (x) = 0

Move

4

to the right side

- 4 tan (x) = - 4

Divide both sides by

- 4

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

3 csc (3 x) = - 2

2 cos (2 θ) + 1 = - 12 cos (θ) - 6

- 3 cos (2 θ) - 9 cos (θ) - 2 = 2 cos (θ) - 6

23 sin (x^{2}) = 3

cos (4 α) - cos (2 α) = sin (3 α)

What is the general solution for 4cos(x)-4sin(x)=0 ?
The general solution for 4cos(x)-4sin(x)=0 is x= pi/4+pin