How would you prove that angle 1 = angle 4

Mathematics

1 answer:

Leno4ka [110]3 years ago

6 0

1 and 4 are vertical, which means they are the same angle just on opposite sides. They both have a bigger counterpart (1 & 2, 3 & 4) that helps them equal 180. 1=4 and 2=3.

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Half Angle Formula

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Answer:

$\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}$

Checking:

$\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{ (3rd quadrant)} \end{gathered}$

Also,

$\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}$

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Step-by-step explanation:

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