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:

Step 1: Add 2cos(x) to both sides

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

$9cos(x) + 9 = 0$

Step 2: Subtract 9 from both sides

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

$9cos(x) = -9$

Step 3: Divide both sides by 9

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

$cos(x) = -1$

Step 4: Find x

$cos^-^1(-1) = x$

$\pi = x$

Answer: $x = \pi$

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