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WARRIOR [948]
2 years ago
10

Select the correct answer.

Mathematics
2 answers:
algol [13]2 years ago
6 0

Answer:

B

Step-by-step explanation:

hope it helps

Sorry if it's incorrect

kolbaska11 [484]2 years ago
5 0
The answer is B
I hope this helped you !!
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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
Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven. Which expression can represent the a
Lemur [1.5K]
C=25x+.10
C is the total cost. To get the total cost you add the consistent fee of $25 per day, times the number of days. You add $.10 for every mile driven.
4 0
2 years ago
How the heck r u supposed to round this? I tried and it says its wrong!
Rus_ich [418]

The result of division is 21.392

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3 years ago
If m∠A = m∠B and m∠A + m∠C = ∠D, then m∠B + m∠C = ∠D Which property is shown?
Ad libitum [116K]

Answer:

Substitution Property

Step-by-step explanation:

So we know that:

m\angle A=m\angle B

And we also know that:

m\angle A+m\angle C=\angle D

And by using a specific property, we get that:

m\angle B+m\angle C=\angle D

Essentially, we <em>substituted</em> B for A.

So, this is an example of the substitution property, where if two sides/angles are congruent, we can substitute them for each other.

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3 years ago
The measure of one acute angle in this right triangle is 30°. What is the measure of the
Viktor [21]

Answer:

60°

..................

8 0
3 years ago
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