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fenix001 [56]
3 years ago
5

Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0

First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.

Recall the Pythagorean identity:

sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1

Then

sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5

and so

tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3

csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4

cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4

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13.27 = t - 24.45
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Answer:

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4 0
2 years ago
If m varies directly with x 2 , and m = 10 when x = −4, find the value of m when x = 3
mestny [16]
If it is directly proportional, then:

m = kx
10 = k x -4
k = -2.5

m = 3 x -2.5
m= 7.5

Hope I helped!
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3 years ago
Mikis ice cream parlor sold 345 scoops of ice cream on Saturday and 21 scoops on Sunday how many more were sold on Saturday then
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How to count fast from 82-199
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The vector parametric equation for the line through the points (−1,−4,2) and (−1,0,−3) is:_______
ollegr [7]

Answer: x(t)=-1

y(t)=-4+4(t)

z(t)=2-5(t)

Step-by-step explanation:

To find: The vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3).

Let A (−1,−4,2) and B(−1,0,−3)

First we find direction vectors : \overrightarrow{AB}=

Now, the parametric equations of the line:

x(t)=-1+0(t)

y(t)=-4+4(t)

z(t)=2-5(t)

Hence, the vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3):

x(t)=-1

y(t)=-4+4(t)

z(t)=2-5(t)

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