What is the general solution for 0=cos(pix)*pi+sin(pix)pi ?

The general solution for 0=cos(pix)*pi+sin(pix)pi is x= 3/4+n

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0=cos(pix)*pi+sin(pix)pi

0 = cos (π x) \cdot π + sin (π x) π

x = \frac{3}{4} + n

Solution steps

0 = cos (π x) π + sin (π x) π

Switch sides

cos (π x) π + sin (π x) π = 0

Rewrite using trig identities

π + π tan (π x) = 0

Move

π

to the right side

π tan (π x) = - π

Divide both sides by

π

tan (π x) = - 1

General solutions for

tan (π x) = - 1

π x = \frac{3 π}{4} + πn

Solve

π x = \frac{3 π}{4} + πn : x = \frac{3}{4} + n

x = \frac{3}{4} + n

\frac{sin ( x )}{2} = 1

x, tan (x) = - 3

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

cos (t) = - \frac{3}{5}

2 - sin (θ) = 3 sin (θ)

What is the general solution for 0=cos(pix)*pi+sin(pix)pi ?
The general solution for 0=cos(pix)*pi+sin(pix)pi is x= 3/4+n