What is the general solution for 7cos(x)-7sin(x)=0 ?

The general solution for 7cos(x)-7sin(x)=0 is x= pi/4+pin

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7cos(x)-7sin(x)=0

7 cos (x) - 7 sin (x) = 0

x = \frac{π}{4} + πn

Solution steps

7 cos (x) - 7 sin (x) = 0

Rewrite using trig identities

7 - 7 tan (x) = 0

Move

7

to the right side

- 7 tan (x) = - 7

Divide both sides by

- 7

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

9 sin (x) cos (x) = 5 cos (x)

3 cos (x) sin (x) = - sin (x)

4 cos (10 x) + 2 = 2

sin (x) = - \frac{3}{4}

sin (2 x - \frac{π}{3}) = \frac{1}{2}

What is the general solution for 7cos(x)-7sin(x)=0 ?
The general solution for 7cos(x)-7sin(x)=0 is x= pi/4+pin