What is the general solution for cos(x)tan(x)=0 ?

The general solution for cos(x)tan(x)=0 is x=pin

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cos(x)tan(x)=0

cos (x) tan (x) = 0

x = πn

Solution steps

cos (x) tan (x) = 0

Solving each part separately

cos (x) = 0 or tan (x) = 0

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

tan (x) = 0 : x = πn

Combine all the solutions

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn, x = πn

Since the equation is undefined for:

\frac{π}{2} + 2 πn, \frac{3 π}{2} + 2 πn

x = πn

cos^{2} (x) + 4 cos (x) + 3 = 0

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

2 sin^{2} (x) - sin (x) - 1 = 0, 0 \leq x < 2 π

sin^{2} (x) = 3

2 cos (2 θ) - 2 = - 3 sin (θ)

What is the general solution for cos(x)tan(x)=0 ?
The general solution for cos(x)tan(x)=0 is x=pin