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Katena32 [7]
3 years ago
7

if cos a = 1/3 then the positive value of tan 1/2a is? i did radical 2/3 over 4/3, but im not sure what to do now.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0
Hello,

tg( \frac{a}{2} )=\pm \sqrt{ \dfrac{1-cos(a)}{1+cos(a)} } \\
=\pm \sqrt{ \dfrac{ \dfrac{2}{3} }{ \dfrac{4}{3} } } =\pm \sqrt{ \dfrac{1}{2} } =\pm \dfrac{ \sqrt{2} }{2} \\

+\ if\  \dfrac{a}{2}\  in\ 1\ quadrant\ (or \ 3)}\\

-\ if\  \dfrac{a}{2}\  in\ 2\ quadrant\ (or \ 4)}\\

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d\pi

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8 0
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This graph shows transformations between f(x) = 10x and g(x) = a · 10x. Identify the following functions. p(x) = 4 · 10x q(x) =
wel

Anwers:

1. line A

2. line D

3. line B

4. line C

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the original function:

f(x) = 10x

and g(x) = a · 10x is the general from of all transformed functions from the above original function.

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The graph of this function is stretched vertically => line A

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The graph of this function is stretched vertically and is reflected through the x-asix => line D.

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The graph of this function is compressed vertically => line B

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The graph of this function is compressed vertically and is reflected through the x-asix => line C

Hope it will find you well.

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