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butalik [34]
3 years ago
11

The point given is on the terminal side of an angle theta. Find the exact values of the six trig functions of theta.. (-3,2)

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0
We can use SOH, CAH and TOA, but first we must find the length of a hypotenuse:
h =\sqrt{(-3) ^{2}+2^{2} } =  \sqrt{9+4}= \sqrt{13}
sin (theta)= 2/√13
cos ( theta) = -3/√13
tan (theta) = -2/3
cot (theta ) = -3/2
sec (theta) = 1/cos(theta ) = -√13/3
csc(theta ) = 1/ sin (theta) = √13/2 
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A given line has the equation 10x+2y=-2.
Otrada [13]

Answer:

5x + y = -1

Step-by-step explanation:

10x + 2y = –2

-10x - 10x

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2y = -10x - 2

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2 2

y = -5x - 1

In <em>Standard</em><em> </em><em>Form</em>:

y = -5x - 1

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7 0
3 years ago
A balloon attached to an atmospheric data-gathering device must be at least 1000 m high to begin recording information. Two spot
maks197457 [2]

The angle of elevation that the instruments have to record to be at the correct height is given as 79°

<h3>How to solve for the angle of elevation</h3>

We have 2x + 70 = 180

We have to find the value of x

2x = 110

x = 55

y/sin x = 225/sin70

This is the use of sine rule

From here we would have

y = 225(sinx/sin70)

Remember x = 55

y =  225(sin55/sin70)

y = 196.1378

tanθ = 1000/y

tan θ = 1000/196.1378

tanθ = 5.098

θ = tan⁻¹5.098

= 78.90°

Hence the conclusion is that the angle of elevation has to be 78.9 degrees for it to be at the correct height.

Read more on the angle of elevation  here:

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6 0
2 years ago
Identify an equation in point-slope form for the line perpendicular to y=3x+5 that passes through (4,-1)
balu736 [363]
Would it be (0,5)? based on the intersection on the graph
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3 0
3 years ago
Solve proportion 19/11 = f/9
Soloha48 [4]

Answer:

f= 171/11

Step-by-step explanation:

Multiply both sides by 99

19/11*9=f

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Switch sides

F= 171/11

8 0
3 years ago
Is my answer correct? if not please correct me
elena-s [515]

Using the given equation y-3 = 3/4(x+2)


Give Y a value and then solve for x:


If y = 0 the equation is now:

0 -3 = 3/4(x+2)

Solve for x:

-3 = 3/4x + 1.5

-4.5 = 3/4x

x = -4.5 / 3/4

x = -6


So the first point would be (-6,0)


Now make x 0 and solve for y:

y -3 = 3/4(0+2)

y-3 = 0 + 1.5

y = 4.5

So the 2nd point would be (0,4.5)


You are close, but the dot you have on y=4, needs to be moved up to 4.5.


8 0
4 years ago
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