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Popular >

sin(x)+tan(x)=0

Solution

sin (x) + tan (x) = 0

Solution

x = 2 πn, x = π + 2 πn

+1

Solution steps

sin (x) + tan (x) = 0

Express with sin, cos

\frac{sin ( x ) + cos ( x ) sin ( x )}{cos ( x )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

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

Factor

sin (x) + cos (x) sin (x) : sin (x) (cos (x) + 1)

sin (x) (cos (x) + 1) = 0

Solving each part separately

sin (x) = 0 or cos (x) + 1 = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

cos (x) + 1 = 0 : x = π + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

Popular Examples

sin^2(x)cos^2(x)=0

sin^{2} (x) cos^{2} (x) = 0

3sin(x)cos(x)+5cos(x)=0

3 sin (x) cos (x) + 5 cos (x) = 0

5sin(x)tan(x)=-7tan(x)

5 sin (x) tan (x) = - 7 tan (x)

cos(x+pi/2)-cos(x-pi/2)=sqrt(2)

cos (x + \frac{π}{2}) - cos (x - \frac{π}{2}) = 2

tan(2x)+1=sec(2x)

tan (2 x) + 1 = sec (2 x)

Frequently Asked Questions (FAQ)

What is the general solution for sin(x)+tan(x)=0 ?
The general solution for sin(x)+tan(x)=0 is x=2pin,x=pi+2pin