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

The general solution for -cos(x)=sin(x) is x=(3pi)/4+pin

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-cos(x)=sin(x)

- cos (x) = sin (x)

x = \frac{3 π}{4} + πn

Solution steps

- cos (x) = sin (x)

Rewrite using trig identities

tan (x) = - 1

General solutions for

tan (x) = - 1

x = \frac{3 π}{4} + πn

2 cos^{2} (x) + 5 cos (x) - 3 = 0

x, cos (x) = 1

cos (x) cot^{2} (x) = cos (x)

4 sin (x) cos (x) = - 9 cos (x)

cos (t) = - \frac{3}{2}

What is the general solution for -cos(x)=sin(x) ?
The general solution for -cos(x)=sin(x) is x=(3pi)/4+pin