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vagabundo [1.1K]
2 years ago
13

Pleaseeeee helppppppppppppp

Mathematics
1 answer:
Paul [167]2 years ago
8 0

Answer:

striped

Step-by-step explanation:

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Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not u
Solnce55 [7]

Answer:

Step-by-step explanation:

Let's take a look at the given angle 135°

The sketch of the angle which corresponds to -\dfrac{3\pi}{4} unit circle and can be seen in the attached image below;

The trigonometric ratios are as follows for an angle θ on the unit circle:

Trigonometric ratio           related ratio on coordinate axes

sin θ                                     \dfrac{y}{1}

cos θ                                    \dfrac{x}{1}

tan θ                                     \dfrac{y}{x}

csc θ                                     \dfrac{1}{y}

sec θ                                     \dfrac{1}{x}

cot θ                                      \dfrac{x}{y}

From the sketch of the image attached below;

The six trigonometric ratio for 135° can be expressed as follows:

sin (-\dfrac{3\pi}{4})= \dfrac{y}{1}

sin (-\dfrac{3\pi}{4})=- \dfrac{\sqrt{2}}{2}

cos (-\dfrac{3\pi}{4})= \dfrac{x}{1}

cos (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}

tan (-\dfrac{3\pi}{4})= \dfrac{y}{x}

tan (-\dfrac{3\pi}{4})= \dfrac{-\dfrac{\sqrt{2}}{2}}{-\dfrac{\sqrt{2}}{2}}

tan (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}} \times {-\dfrac{2}{\sqrt{2}}

tan (-\dfrac{3\pi}{4})= 1

csc (-\dfrac{3\pi}{4})= \dfrac{1}{y} \\ \\ csc (-\dfrac{3\pi}{4})=\dfrac{1}{-\dfrac{\sqrt{2}}{2}} \\ \\ csc=1 \times -\dfrac{2}{\sqrt{2}} \\ \\csc =-\sqrt{2}

sec (-\dfrac{3 \pi}{4})=\dfrac{1}{x} \\ \\  sec = \dfrac{1}{(-\dfrac{\sqrt{2}}{2})} \\ \\ sec = 1 \times -\dfrac{2}{\sqrt{2}}  \\ \\  sec = - \sqrt{2}

cot(-\dfrac{3 \pi}{4}) = \dfrac{x}{y} \\ \\ cot(-\dfrac{3 \pi}{4}) = \dfrac{-\dfrac{\sqrt{2}}{2} }{-\dfrac{\sqrt{2}}{2}} \\ \\  cot(-\dfrac{3 \pi}{4})=  -\dfrac{\sqrt{2}}{2} } \times {-\dfrac{2}{\sqrt{2}}} \\ \\  cot (-\dfrac{3 \pi}{4}) = 1

4 0
3 years ago
What is the slope of the line?
Umnica [9.8K]

Answer:

\frac{2}{1}

Step-by-step explanation:

Hello!

To find the slope of a line we divide how many times it goes over by the number of times it goes up

The line goes over 4 and up 2 which is shown like

\frac{4}{2}

We can simplify this

\frac{2}{1}

The answer is \frac{2}{1}

Hope this helps!

7 0
3 years ago
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Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? On a coordinat
Anna35 [415]

Answer:

ans is part a

Step-by-step explanation:

means 1 part

4 0
3 years ago
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The hypotenuse of a 30°-60°-90°
kramer

asdfghjklqwertyuiohcjbahckdsahcajdnc

3 0
3 years ago
a student earned a grade of 80% on a math test that had 25 problems. how many problems on this test did the student answer corre
Mamont248 [21]
80% of 25
percent means parts out of 100
'of' means multiply
80% of 25 means
80/100 times 25=40/50 times 25=20/25 times 25=20

answer is 20 problems
6 0
3 years ago
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