What is the general solution for 5cos(x)-5sin(x)=0 ?

The general solution for 5cos(x)-5sin(x)=0 is x= pi/4+pin

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

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

x = \frac{π}{4} + πn

Solution steps

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

Rewrite using trig identities

5 - 5 tan (x) = 0

Move

5

to the right side

- 5 tan (x) = - 5

Divide both sides by

- 5

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

32 + 6 sin (x) = 0

5 tan (θ) = 4

3 sec (θ) + 5 = - 1

csc (x) + 1 = cot (x)

3 sin (2 θ) - 2 sin (θ) = 0

What is the general solution for 5cos(x)-5sin(x)=0 ?
The general solution for 5cos(x)-5sin(x)=0 is x= pi/4+pin