What is the general solution for 0=8cos(x)-8sin(x) ?

The general solution for 0=8cos(x)-8sin(x) is x= pi/4+pin

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0=8cos(x)-8sin(x)

0 = 8 cos (x) - 8 sin (x)

x = \frac{π}{4} + πn

Solution steps

0 = 8 cos (x) - 8 sin (x)

Switch sides

8 cos (x) - 8 sin (x) = 0

Rewrite using trig identities

8 - 8 tan (x) = 0

Move

8

to the right side

- 8 tan (x) = - 8

Divide both sides by

- 8

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

sec (8 x) = 2

tan (θ) = \frac{7}{8}

2 sin (4 x) + 1 = 0

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

2 = 2 - 2 sin (θ)

What is the general solution for 0=8cos(x)-8sin(x) ?
The general solution for 0=8cos(x)-8sin(x) is x= pi/4+pin