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

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

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cos(t)-sin(t)=0

cos (t) - sin (t) = 0

t = \frac{π}{4} + πn

Solution steps

cos (t) - sin (t) = 0

Rewrite using trig identities

1 - tan (t) = 0

Move

1

to the right side

- tan (t) = - 1

Divide both sides by

- 1

tan (t) = 1

General solutions for

tan (t) = 1

t = \frac{π}{4} + πn

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

tan^{2} (x) = sec (x) - 1, 0 \leq x \leq 2 π

sin^{2} (θ) = 2 sin^{2} (\frac{θ}{2})

cos (x) = cos (x)

(sec^{2} (x) + 1) (sec^{2} (x) - 1) = tan (x)

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