Math, asked by melvinbeukes63, 3 months ago

cos(x +10⁰) =cos(x - 20⁰) Solve for x​

Answers

Answered by mohammedyousufk12
0
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Answered by ItzMeMukku
2

Step-by-step explanation:

Step-by-step explanation:

\huge\bold{Simplifying}

cos(x + 10) = cos(x + -20)

\huge\bold{Reorder the terms:}

cos(10 + x) = cos(x + -20)

(10 * cos + x * cos) = cos(x + -20)

(10cos + cosx) = cos(x + -20)

\huge\bold{Reorder the terms:}

10cos + cosx = cos(-20 + x)

10cos + cosx = (-20 * cos + x * cos)

10cos + cosx = (-20cos + cosx)

Add '-1cosx' to each side of the equation.

10cos + cosx + -1cosx = -20cos + cosx + -1cosx

Combine like terms: cosx + -1cosx = 0

10cos + 0 = -20cos + cosx + -1cosx

10cos = -20cos + cosx + -1cosx

Combine like terms: cosx + -1cosx = 0

10cos = -20cos + 0

10cos = -20cos

\huge\bold{Question :-}Solving

10cos = -20cos

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '20cos' to each side of the equation.

10cos + 20cos = -20cos + 20cos

Combine like terms: 10cos + 20cos = 30cos

30cos = -20cos + 20cos

Combine like terms: -20cos + 20cos = 0

30cos = 0

Divide each side by '30'.

cos = 0.0

\huge\bold{Simplifying}

cos = 0.0

The solution to this equation could not be determined.

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