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Fittoniya [83]
3 years ago
11

0%7D%20%20%3D%20%20%5Csin%28x%29%20" id="TexFormula1" title=" \frac{ \sin(x) + \tan(x) }{1 + \sec(x) } = \sin(x) " alt=" \frac{ \sin(x) + \tan(x) }{1 + \sec(x) } = \sin(x) " align="absmiddle" class="latex-formula">
how do I verify this problem?​
Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Consider the left side

Simplify the numerator/denominator using the trigonometric identities

• tanx = \frac{sinx}{cosx} and secx = \frac{1}{cosx}

sinx + tanx = sinx + \frac{sinx}{cosx} = \frac{xsinxcosx+sinx}{cosx}

= \frac{sinx(1+cosx)}{cosx} ← numerator

and

1 + secx = 1 + \frac{1}{cosx} = \frac{cosx+1}{cosx} ← denominator

Putting this together gives

\frac{sinx(1+cosx)}{cosx} × \frac{cosx}{1+cosx}

Cancel cosx and (1 + cosx) on numerator/ denominator, leaving

left side = sinx = right side ⇒ verified

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Step-by-step explanation:

For this exercuse you need to analize the information provided. You know that:

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Finally, in order to find the ratio of height of the replica to the height of the real Empire State building, its necessary to divide the height of the replica of the Empire State Building by the height of the real Empire State building.

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Step-by-step explanation:

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Step-by-step explanation:

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Step 2:

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