tg(x)*(sin(x)+cos(x))=0

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Solution for tg(x)*(sin(x)+cos(x))=0 equation:


Simplifying
tg(x)(sin(x) + cos(x)) = 0

Multiply ins * x
gt * x(insx + cos(x)) = 0

Multiply cos * x
gt * x(insx + cosx) = 0

Reorder the terms:
gt * x(cosx + insx) = 0

Multiply gt * x
gtx(cosx + insx) = 0
(cosx * gtx + insx * gtx) = 0
(cgostx2 + ginstx2) = 0

Solving
cgostx2 + ginstx2 = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1ginstx2' to each side of the equation.
cgostx2 + ginstx2 + -1ginstx2 = 0 + -1ginstx2

Combine like terms: ginstx2 + -1ginstx2 = 0
cgostx2 + 0 = 0 + -1ginstx2
cgostx2 = 0 + -1ginstx2
Remove the zero:
cgostx2 = -1ginstx2

Divide each side by 'gostx2'.
c = -1ino-1

Simplifying
c = -1ino-1

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