PLEASE HELP!! WILL GAVE BRAINLIEST TO FIRST ANSWER THAT SHOWS STEPS!

A point on the terminal side of an angle theta is given. Find the exact value of each of the six trigonometric functions of thet

statuscvo [17]

Answer:

Step-by-step explanation:

Plot that point in the x/y coordinate plane to see that it sits in the third quadrant. From the point, draw a line to the origin, constructing a right triangle. The side adjacent to the angle is -2, the side across from the angle is -5, so we need to find the length of the hypotenuse using Pythagorean's Theorem:

$c^2=(-5)^2+(-2)^2$ and

$c^2=25+4$ so

$c=\sqrt{29}$

That means that

$sin\theta=-\frac{5}{\sqrt{29} }=-\frac{5\sqrt{29} }{29}$ and

$csc\theta=-\frac{\sqrt{29} }{5}$

That means that

$cos\theta=-\frac{2}{\sqrt{29} }=-\frac{2\sqrt{29} }{29}$ and

$sec\theta=-\frac{\sqrt{29} }{2}$

It also means that

$tan\theta=\frac{5}{2}$ and

$cot\theta=\frac{2}{5}$

4 0

4 years ago

How do i graph the equation -x + 2y = 2

Black_prince [1.1K]

<h2>Greetings!</h2>

Step-by-step explanation:

Firstly, set the x value as 0:

-0 + 2y = 2

2y = 2

y = 1

So when x = 0, y = 1

Now set y to 0:

-x + 2(0) = 2

-x = 2

x = -2

So when y = 0, x = -2

Simply plot the two following points:

(0 , 1) and (-2 , 0)

And don't forget to join these two points up!

Attatched is an image of this graph.

<h2>Hope this helps!</h2>

4 0

4 years ago

A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of

professor190 [17]

Answer:

The question is not complete. The full question and the solution is attached in the file below

Step-by-step explanation:

Download docx

4 0

3 years ago

Read 2 more answers

20 balloons have to be devided between a group A and Group B in the ratio 2:3. How many balloons will each group receive?

AVprozaik [17]

Answer:

There are 8 and 12 balloons for groups A and B, respectively.

Step-by-step explanation:

The ratio 2 : 3 means that there are 2 balloons in group A for each 3 balloons in the group B. The amounts of balloons asigned to each groups are determined by the following formulas:

Group A

$n_{A} = \frac{2}{2+3}\cdot (20)$