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Troyanec [42]
3 years ago
13

Find all 6 trig functions given the terminal side goes through point (0,-3)

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0
So hmm notice the picture below

that's (0, -3)

now, keep in mind, adjacent is 0, opposite is -3, and hypotenuse, or radius, is 3

and recall  sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\\ \quad \\

% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\qquad \qquad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}

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Find the measure of each angle using the triangle sum theorem and exterior angle theorem
Paladinen [302]

(please open my photo for reference as you read, I am a visual learner/explainer so it will make the most sense that way)

So the first thing you want to do is look at the exterior angle 130°. A straight line is 180°, and every Triangle's angular sum is 180°. How I think of it is that every straight line has a mini protractor on either side. It makes it a bit easier to understand.

180 - 130 = 50

You now know that two of the angles are 50°.

You now have two of the measurements for the triangle farthest to the left.

75° and 50°

75 + 50 = 125

180 - 125 = 55

a = 55°

Now that you have all the measurements for the first triangle, let's move onto the next one.

With two measurements for the second triangle, all you need to do is find their sum and subtract that from 180 and you will have the third measurement!

50 + 60 = 110

180 - 110 = 70

b = 70°


Finally, for the last triangle, you already have two of the measurements 60° and 85°.


85 + 60 = 145

180 - 145 = 35

c = 35°


Sorry if this explanation is a bit messy, it's hard to describe certain things without a letter or some kind of name to differentiate between them verbally.


I hope this helps! <3

3 0
3 years ago
Please help!!! Will mark BRAINLIEST!!!!
Bond [772]

In an equilateral triangle, the measure of each angle is 60 degrees. Then the value of x and y is 17/3 and 65.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In trianlge ΔMNP, PM = 3x - 4, MN = 14, ∠N = 5y - 5.

In an equilateral triangle, all the sides and all the angles are equal.

MN = NP = PM

∠M = ∠N = ∠P

Then we have

   PM = MN

3x - 4 = 14

      x = 17/3

We know in an equilateral triangle, the measure of each angle is 60 degrees. Then we have

    ∠N = 60

5y - 5 = 60

    5y = 65

      y = 13

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

6 0
2 years ago
A N O T H E R O N E
guapka [62]

Answer:

ksajcsxkb asljbas akajs

Step-by-step explanation: sxakn skdj

4 0
2 years ago
|3x| = 9<br> Variable please.
Lorico [155]

Answer:

x = 3 or x = -3

Step-by-step explanation:

The absolute value of 3x = 9

Divide nine by 3 to get 3

Absolute value represents the number of spaces an integer is from 0, so the answer could also be -3, as the absolute value of 3 x -3   (-9) is 9.

7 0
2 years ago
Please help me with this 8th grade math
VMariaS [17]
The answer is -21 I just took the test
7 0
3 years ago
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