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Paraphin [41]
2 years ago
6

Please help me understand how to do this

Mathematics
1 answer:
erastova [34]2 years ago
6 0

Answer:

-1

Step-by-step explanation:

First, find g(3), g(3) is 5.

Next, plug in 5 for g(3).

So we have f(5), f(5) is -1

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Evaluate the six trigonometric functions of the angle 0.
Arturiano [62]

Given:

Right triangle

To find:

The six trigonometric functions of θ

Solution:

Hypotenuse = 18

Adjacent side to θ = 10

Opposite side to θ = ?

Using Pythagoras theorem:

\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2

18^2 =10^2+\text{opposite}^2

324=100+\text{opposite}^2

Subtract 100 from both sides.

224=\text{opposite}^2

Taking square root on both sides.

4\sqrt{14}=\text{opposite}

Using trigonometric ratio formula:

$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}

$\sin\theta =\frac{4\sqrt{14} }{18}

$\csc\theta =\frac{\text{hypotenuse}}{\text{opposite }}

$\csc\theta =\frac{18}{4\sqrt{14} }

$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}

$\cos \theta=\frac{10}{18}

$\sec \theta=\frac{\text { hypotenuse }}{\text { adjacent side }}

$\sec \theta=\frac{18 }{10}

$\tan \theta=\frac{\text { opposite side }}{\text { adjacent side }}

$\tan \theta=\frac{4\sqrt{14} }{10}

$\cot \theta=\frac{\text { adjacent side }}{\text { opposite side }}

$\cot \theta=\frac{10}{4\sqrt{14} }

8 0
3 years ago
Can someone please tell me what 597 ➗ 5 is
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
Solve for x. 3x+2=38
SpyIntel [72]
Subtract the two over to cancel it out
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then divide by 3 to get an answer of
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8 0
3 years ago
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Write the equation of a linear function for which f=(-4)=0 and f=(0)=-2
densk [106]

Answer:

y = -0.5x - 2

Step-by-step explanation:

equation: f(x) = mx + b

f(-4) : -4m + b = 0  ...(1)

f(0):   0m + b = -2            b = -2   ... plug in (1)

-4m - 2 = 0

m = - 1/2 = - 0.5

linear equation: y = -0.5x - 2

6 0
3 years ago
What is the slope of the linear table below?
Drupady [299]

Answer:

A. 2/3

Step-by-step explanation:

Plot the points, so you visualize rise/run.

When you start at the point (-3,8) it rises 2 then moves 3 to the right to get to the point (0,10). Then it rises 2 and moves 3 to the right to the point (3,12).

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3 years ago
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