What is the general solution for 20=15cos(x)*2,47 ?

The general solution for 20=15cos(x)*2,47 is No Solution for x\in\mathbb{R}

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20=15cos(x)*2,47

20 = 15 cos (x) \cdot 2, 47

No Solution for x \in R

Solution steps

20 = 15 cos (x) \cdot 2, 47

Switch sides

15 cos (x) \cdot 2 = 20

Divide both sides by

15 \cdot 2

15 cos (x) \cdot 2 = 20

Divide both sides by

15 \cdot 2

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2} = \frac{20}{15 \cdot 2}

Simplify

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2} = \frac{20}{15 \cdot 2}

Simplify

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2} : cos (x)

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2}

Multiply the numbers:

15 \cdot 2 = 30

= \frac{30 cos ( x )}{30}

Divide the numbers:

\frac{30}{30} = 1

= cos (x)

Simplify

\frac{20}{15 \cdot 2} : \frac{2}{3}

\frac{20}{15 \cdot 2}

Multiply the numbers:

15 \cdot 2 = 30

= \frac{20}{30}

Cancel the common factor:

10

= \frac{2}{3}

cos (x) = \frac{2}{3}

cos (x) = \frac{2}{3}

cos (x) = \frac{2}{3}

Apply trig inverse properties

cos (x) = \frac{2}{3}

General solutions for

cos (x) = \frac{2}{3}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{2}{3}) + 2 πn, x = 2 π - arccos (\frac{2}{3}) + 2 πn

x = arccos (\frac{2}{3}) + 2 πn, x = 2 π - arccos (\frac{2}{3}) + 2 πn

Solutions for the range

47

No Solution for x \in R

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cos (A) = 0.4639

csc (A) = \frac{9.43}{5}

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What is the general solution for 20=15cos(x)*2,47 ?
The general solution for 20=15cos(x)*2,47 is No Solution for x\in\mathbb{R}