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

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

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solvefor x,0=cos(x)-sin(x)

solve for

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

x = \frac{π}{4} + πn

Solution steps

0 = cos (x) - sin (x)

Switch sides

cos (x) - sin (x) = 0

Rewrite using trig identities

1 - tan (x) = 0

Move

1

to the right side

- tan (x) = - 1

Divide both sides by

- 1

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

3 cos^{2} (θ) + 7 cos (θ) - 8 = 0

2 cos (2 a) = 2, 0 \leq θ \leq 2 π

t, y^{4} - 81 y = sin (t)

11 sin (B) - 1 = 3 sin (B) - 1

sin (5 x) - sin (3 x) - sin (x) = 0

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