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Katena32 [7]
2 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]2 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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The equation that shows the correct relationship between the measures of the angles of the two triangles is;

Option D: The measure of angle BCA = The measure of angle C prime A prime B prime

<h3>How to Interpret Objects Transformation?</h3>

We are told that Triangle ABC is transformed to triangle A′B′C′.

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Ilya [14]

Answer:

The distance between the two points is \sqrt{65} \ \text{units}.

Step-by-step explanation:

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\displaystyle \bullet  \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

\bullet  \ \ \ (x_1, y_1), (x_2, y_2)

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Therefore, the distance between the two points is \sqrt{65} \ \text{units}.

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