<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%20-%202%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctim

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3 years ago

es%20%20-%205" id="TexFormula1" title=" \frac{1}{2} \times - 2 + \frac{1}{3} \times - 5" alt=" \frac{1}{2} \times - 2 + \frac{1}{3} \times - 5" align="absmiddle" class="latex-formula">
how do I solve this?

Mathematics

1 answer:

WINSTONCH [101]3 years ago

8 0

<h3>Here is your Answer </h3>

$\frac{1}{2} \times - 2 + \frac{1}{3} \times - 5 \\ \\ = \frac{1}{ \cancel2} \times \cancel{- 2} + \frac{1}{3} \times - 5 \\ \\ = 1 \times - 1 + \frac{1}{3} \times - 5 \\ \\ = - 1 + ( - \frac{5}{3} ) \\ \\ = - 1 - \frac{5}{3} \\ \\ = \frac{ - 3 - 5}{3} \\ \\ = \frac{ - 8}{3} = - 2 \frac{2}{3}$

<h3>Hope This Helps You</h3>

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X^3-3x^2-22x+24
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3 years ago

Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric

mariarad [96]

Answer:

$\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}$

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of θ then $r=\sqrt{x^2+y^2}$

$r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17$ units

$\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}$