What is the general solution for 3.6=0.116cos(4.17x) ?

The general solution for 3.6=0.116cos(4.17x) is No Solution for x\in\mathbb{R}

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3.6=0.116cos(4.17x)

3.6 = 0.116 cos (4.17 x)

No Solution for x \in R

Solution steps

3.6 = 0.116 cos (4.17 x)

Switch sides

0.116 cos (4.17 x) = 3.6

Multiply both sides by

1000

0.116 cos (4.17 x) = 3.6

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

3

digits to the right of the decimal point, therefore multiply by

1000

0.116 cos (4.17 x) \cdot 1000 = 3.6 \cdot 1000

Refine

116 cos (4.17 x) = 3600

116 cos (4.17 x) = 3600

Divide both sides by

116

116 cos (4.17 x) = 3600

Divide both sides by

116

\frac{116 cos ( 4.17 x )}{116} = \frac{3600}{116}

Simplify

cos (4.17 x) = \frac{900}{29}

cos (4.17 x) = \frac{900}{29}

- 1 \leq cos (x) \leq 1

No Solution for x \in R

What is the general solution for 3.6=0.116cos(4.17x) ?
The general solution for 3.6=0.116cos(4.17x) is No Solution for x\in\mathbb{R}