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

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

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2cos(x)tan(x)=1

2 cos (x) tan (x) = 1

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

Solution steps

2 cos (x) tan (x) = 1

Rewrite using trig identities

2 sin (x) = 1

Divide both sides by

2

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

sin (10 x) = sin (7 x)

185 = \frac{220 2}{π} - cos (π) + cos (x)

x, 2 sin^{2} (x) = sin (x)

3 cos^{2} (θ) - 2 sin (θ) = 1

- 3 cos (2 x) + 3 = 5 sin (x)

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