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

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

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

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

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

Solution steps

cos (x) tan (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

4 sin^{2} (x) = 1 - 4 cos (x)

- 100 sin (10 x) = 0

2 sin (x) = csc (x) - 6, 0 \leq x < 2 π

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

2 sin (x - \frac{π}{2}) + 3 = 0

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