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Viefleur [7K]
3 years ago
8

A real number between √13 and √14

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0
The real number is 3
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(20 points)Solve the equation cos x = sin (x + 22)
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\bold{x = 34^\circ}

Step-by-step explanation:

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cos x = sin (x + 22^\circ)

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The given equation.

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sin(90^\circ-\theta )=cos\theta

OR

cos(90^\circ-\theta )=sin\theta

We can apply above property to solve for x as per given equation.

cos x = sin (x + 22^\circ)

Changing cosx to sine form:

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cosx=sin(90^\circ-x) = sin(x+22^\circ)

\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}

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