What is the general solution for solvefor w,100cos(10w)=50 ?

The general solution for solvefor w,100cos(10w)=50 is w= pi/(30)+(pin)/5 ,w= pi/6+(pin)/5

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solvefor w,100cos(10w)=50

solve for

w, 100 cos (10 w) = 50

w = \frac{π}{30} + \frac{πn}{5}, w = \frac{π}{6} + \frac{πn}{5}

Solution steps

100 cos (10 w) = 50

Divide both sides by

100

cos (10 w) = \frac{1}{2}

General solutions for

cos (10 w) = \frac{1}{2}

10 w = \frac{π}{3} + 2 πn, 10 w = \frac{5 π}{3} + 2 πn

Solve

10 w = \frac{π}{3} + 2 πn : w = \frac{π}{30} + \frac{πn}{5}

Solve

10 w = \frac{5 π}{3} + 2 πn : w = \frac{π}{6} + \frac{πn}{5}

w = \frac{π}{30} + \frac{πn}{5}, w = \frac{π}{6} + \frac{πn}{5}

cos (θ) = \frac{8}{25}

sin (2 x) = π

sin (x + 5 π) = 0

cos (2 x) + 9 cos (x) + 5 = 0

25 = - 20 cos (\frac{2 π}{365} (x + 10)) + 25

What is the general solution for solvefor w,100cos(10w)=50 ?
The general solution for solvefor w,100cos(10w)=50 is w= pi/(30)+(pin)/5 ,w= pi/6+(pin)/5