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Molodets [167]
3 years ago
6

Find the measure of the angle in red.

Mathematics
1 answer:
hammer [34]3 years ago
7 0

Answer:

Sin 7pie/12 would be the answer

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Integrate the following:<br><img src="https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Cint%20%5C%3A%20%20%5Ctan%28x%29%20%20%20%5
Korvikt [17]

Answer:

\huge \boxed{\red{ \boxed{  -  \cos(x)  + C}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
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  • PEMDAS
<h3>tips and formulas:</h3>
  • \tan( \theta)  =  \dfrac{ \sin( \theta) }{ \cos( \theta) }
  • \sf \displaystyle \int  \sin(x)   \: dx =    - \cos(x)  +   C
<h3>let's solve:</h3>
  1. \sf \: rewrite \:  \tan( \theta)  \:  as \:   \dfrac{ \sin( \theta) }{ \cos( \theta) }  :  \\   =  \displaystyle  \int \:  \frac{ \sin(x) }{ \cos(x) }  \cos(x)  \: dx \\   = \displaystyle \int \:  \frac{ \sin(x) }{ \cancel{\cos(x) }}   \: \cancel{ \cos(x)}  \: dx \\     = \displaystyle \int \:  \sin(x)   \: dx
  2. \sf \: use \: the \: formula : \\   \sf \displaystyle     - \cos(x)
  3. \sf add \: constant :  \\   -  \cos(x)  + C

\text{And we are done!}

6 0
2 years ago
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