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

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

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-sin(x)=cos(x)

- sin (x) = cos (x)

x = \frac{3 π}{4} + πn

Solution steps

- sin (x) = cos (x)

Rewrite using trig identities

- tan (x) = 1

Divide both sides by

- 1

tan (x) = - 1

General solutions for

tan (x) = - 1

x = \frac{3 π}{4} + πn

sin (3 x) + sin (x) = 0, 0 \leq x \leq 2 π

4 sin (θ) + 3 = 1

25 cot^{2} (θ) - 1 = 0

cos (a) = \frac{5}{13}

sec (2 x) - 2 = 0

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