What is the general solution for tan(x)cos(x)= 1/2 ?

The general solution for tan(x)cos(x)= 1/2 is x= pi/6+2pin,x=(5pi)/6+2pin

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tan(x)cos(x)= 1/2

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

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

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

Rewrite using trig identities

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

General solutions for

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

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

sec (x) sin (x) - 3 sin (x) = 0

(tan (x) + 1) (3 tan (x) + 1) = 0

9 cos (2 θ) = 9 cos (θ)

6 sin (x) + 4 cos (x) = 0

cos (t) + sin (t) = 0

What is the general solution for tan(x)cos(x)= 1/2 ?
The general solution for tan(x)cos(x)= 1/2 is x= pi/6+2pin,x=(5pi)/6+2pin