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Kamila [148]
3 years ago
9

Use the given information to determine the exact trigonometric value. (in the image attached)

Mathematics
1 answer:
notka56 [123]3 years ago
6 0

Answer:

OPTION B: $ \frac{-2\sqrt{5}}{5} $

Step-by-step explanation:

Given $ cot \theta = -\frac{\sqrt{5}}{2} $

We know that, $ \frac{1}{cot \theta} = tan \theta $

$ \implies tan \theta = \frac{1}{-\frac{\sqrt{5}}{2}} $

$ = -\frac{2}{\sqrt{5}} $

Multiplying and dividing by $ \sqrt{5} $, we get:

$ tan \theta = - \frac{2 \sqrt{5}}{\sqrt{5}\times \sqrt{5}}} $

$ \implies tan \theta = -\frac{2\sqrt{5}}{5} $

Hence, OPTION B is the answer.

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1. Evaluate -3x^3 -2y^2 when x=-5 and y =3
-Dominant- [34]

Answer:

357

Step-by-step explanation:

A) We replace x = - 5 and u = 3 into -3x^3 -2y^2

and we have -3x^3 -2y^2= -3*(-5)^3 -2*3^2= -3*(-125)- 2*9

or -3x^3 -2y^2 = 375-18= 357

The answer is 357.

B) Replace h = -2 into h^2-3h+2

we have h^2-3h+2 = (-2)^2 -3*(-2) +2 = 4 +6 + 2= 12

The answer is 12

Have a good day.

8 0
4 years ago
Given A = {(1, 3)(-1, 5)(6, 4)}, B = {(2, 0)(4, 6)(-4, 5)(0, 0)} and C = {(1, 1)(0, 2)(0, 3)(0, 4)(-3, 5)}, answer the following
Nuetrik [128]

Answer:

  Domain of set B: {2, 4, -4, 0}

Step-by-step explanation:

The domain of the function whose ordered pairs are listed in set B is the set of first numbers of those pairs: {2, 4, -4, 0}.

_____

<em>Comment on the question</em>

A "set" does not have a domain. A "function" has a domain. To make any sense of this question, we have to interpret the question to mean the function described by the ordered pairs in the set.

8 0
3 years ago
Need help solving a trigonometric equation
Sonja [21]
<span><span>sin(x)</span><span>(<span>sin(x)</span>+1)</span>=0</span>
implies
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x = π 2 + n ⋅ π for all n ε Z
8 0
4 years ago
What is the slope of the line?<br> m =
monitta

Answer:

m=0.25

Step-by-step explanation:

m = (y_2-y_1)/ (x_2-x_1)

Let's get 2 of any coordinates in the graph, for example: (4,2) and (0,1)

m = (1-2)/(0-4) = 1/4 or 0.25

8 0
3 years ago
What is the greatest number which can be made using each of the digits 5,3,1,4,7
Minchanka [31]
That is tricky but I multiplied them all and got 420 I hope that helps. :)
5 0
3 years ago
Read 2 more answers
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