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Svetllana [295]
3 years ago
9

Find all solution of the following equation in the interval [0, 2pi) No decimals.

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Step-by-step explanation:

<u>Step 1:  Add 2cos(x) to both sides</u>

7cos(x) + 2cos(x) + 9 = -cos(x) + cos(x)

9cos(x) + 9 = 0

<u>Step 2:  Subtract 9 from both sides</u>

9cos(x) + 9 - 9 = 0 - 9

9cos(x) = -9

<u>Step 3:  Divide both sides by 9</u>

9cos(x) / 9 = -9 / 9

cos(x) = -1

<u>Step 4:  Find x</u>

cos^-^1(-1) = x

\pi = x

Answer:  x = \pi

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