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ANTONII [103]
2 years ago
15

Which of the following best explains how this relationship and the value of sin theta can be used to find the other trigonometri

c values?

Mathematics
1 answer:
Lena [83]2 years ago
8 0

Answer:

OPtion I is right

Step-by-step explanation:

Once we know sin of an angle, and it lies in II quadrant, we know that

cos, sec, tan and cot would be negative but csc will be positive.

So use the fact that

sin^{2}t+cos^{2} t=1\\cost =-\sqrt{1-sin^2 t}

Thus cos is obtained using negative square root.

Now tan = sin/cos, and sec = 1/cos:

cot =1/tan and csc =1/sin

Thus all value can be obtained easily

So option I

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How do i write 12.009 in a word form?
tia_tia [17]
Your answer will be twelve and nine thousandths because in place value decimals are like tenths, hundredths, thousandths. In place value for regular numbers are ones, tens, hundreds and so on. So, when you have 12.009, you are going to separate the decimals with the numbers. Then, write down the number in words which would be twelve. Now, go to the decimal and write that down, which is 9 thousandths. Finally, combine the both of them to get: twelve and nine thousandths.

Hope this helps :) 
and good luck

5 0
2 years ago
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
Alenkinab [10]

For this case, the parent function is given by:

f (x) = x ^ 2

We apply the following transformations:


Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units upwards:

For k = 9 we have:

h (x) = x ^ 2 + 9


Horizontal translations:

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right

For h = 4 we have:

g (x) = (x-4) ^ 2 + 9

Answer:

The function g (x) is given by:

g (x) = (x-4) ^ 2 + 9

7 0
2 years ago
Read 2 more answers
Which graph matches the equation y+3=2(x+3)?
Vlad1618 [11]

Answer:

The graph that includes points (-3,-3) and (0,3)

Step-by-step explanation:

In the pictures attached, the options are shown.

The equation:

y+3=2(x+3)

has the point-slope form, which is:

y-y₁=m(x-x₁)

where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:

y+3=2(0+3)

y+3 = 6

y = 6 - 3

y = 3

Then, point (0, 3) is on the line.

8 0
2 years ago
Mia opens a coffee shop in the first week of January. The function W(x) = 0.002x3 - 0.01x2 models the total number of customers
Len [333]
We need to know the function that models the difference in the number of customers visiting the two stores.
 We know the function that models the number of customers in the cafeteria
 W (x) = 0.002x3 - 0.01x2
 We also know the function that models the number of customers who visit the ice cream parlor 
 R (x) = x2 - 4x + 13
 Therefore the difference, D (x), in the number of customers visiting the two stores is:
 D (x) = W (x) - R (x)
 D (x) = 0.002x ^ 3 - 0.01x ^ 2 - (x ^ 2 -4x +13)
 D (x) = 0.002x ^ 3 - 0.01x ^ 2 - x ^ 2 + 4x -13

D (x) = 0.002x ^ 3 - 1.01x ^ 2 + 4x -13
<span> The answer is the third option</span>

8 0
2 years ago
Read 2 more answers
Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11. negative 33 square root of
Alla [95]
As long as your indexes are the same (which they are; they are all square roots) and you radicands are the same (which they are; they are all 11), then you can add or subtract.  The rules for adding and subtracting radicals are more picky than multiplying or dividing.  Just like adding fractions or combining like terms.  Since all the square roots are the same we only have to worry about the numbers outside.  In fact, it may help to factor out the sqrt 11: (5-12-2) \sqrt{11}.  The numbers subtract to give you -9.  Therefore, the simplification is -9 \sqrt{11}
6 0
2 years ago
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