What is the general solution for solvefor x,2cos(x)-sin(x*)(-2cot(x))=2 ?

The general solution for solvefor x,2cos(x)-sin(x*)(-2cot(x))=2 is x= pi/3+2pin,x=(5pi)/3+2pin

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solvefor x,2cos(x)-sin(x*)(-2cot(x))=2

solve for

x, 2 cos (x) - sin (x) (- 2 cot (x)) = 2

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Degrees

x = 6 0^{\circ} + 36 0^{\circ} n, x = 30 0^{\circ} + 36 0^{\circ} n

Solution steps

2 cos (x) - sin (x) (- 2 cot (x)) = 2

Subtract

2

from both sides

2 cos (x) + 2 sin (x) cot (x) - 2 = 0

Rewrite using trig identities

- 2 + 4 cos (x) = 0

Move

2

to the right side

4 cos (x) = 2

Divide both sides by

4

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

General solutions for

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

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

m^{2} - 20 m + 100 = 0

0 = - \frac{( x - 2 ) ^{2}}{8} + 8

12 x^{2} - 240 x + 875 = 0

5 m^{2} + 8 m = - 1

12 x^{2} - 288 = 0

What is the general solution for solvefor x,2cos(x)-sin(x*)(-2cot(x))=2 ?
The general solution for solvefor x,2cos(x)-sin(x*)(-2cot(x))=2 is x= pi/3+2pin,x=(5pi)/3+2pin