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

- sin (x) = cos (x)

Subtract

cos (x)

from both sides

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

Rewrite using trig identities

- tan (x) - 1 = 0

Move

1

to the right side

- tan (x) = 1

Divide both sides by

- 1

tan (x) = - 1

General solutions for

tan (x) = - 1

x = \frac{3 π}{4} + πn

tan (a) = \frac{- 4}{3}

cot (x) - 2 tan (x) = - 0.25

cos (\frac{x}{2}) = \frac{1}{4}

x, y = 2 arcsin (x - 1)

x, - 2 sin (x) - 1 = 0

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