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Zielflug [23.3K]
3 years ago
12

Simplify the expression,cos x cotx + sinx​

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0

Answer:

cosec x

Step-by-step explanation:

\cos  x \:  \cot x +  \sin  x \\  \\  = \cos  x  \times  \frac{\cos  x }{ \sin  x }  +  \sin  x   \\  \\  = \frac{\cos^{2}  x +\sin^{2}  x }{ \sin  x }  \\  \\  = \frac{1}{ \sin  x }  \\  \\  = cosec x \\  \\   \red{ \boxed{ \bold{\therefore \:  \cos  x \:  \cot x +  \sin  x = cosec \: x}}}

blondinia [14]3 years ago
3 0

Answer:

csc x in edge

Step-by-step explanation:

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Is this function one-to-one? Explain how you determine your answer
Vinil7 [7]
A function for which every element of the range of the function corresponds to exactly one element of the domain. One-to-one is often written 1-1. Note: y = f(x) is a function if it passes the vertical line test.
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3 years ago
Lemme get some help plz
enot [183]

Answer:

6(8x-2)

48x- 12 (this is the answer)

Step-by-step explanation:

to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it

4 0
3 years ago
What is the equation of the line that goes through the points (-5,-1) and (5,5)?
Margaret [11]

Answer:

y = 3/5 x + 2.

Step-by-step explanation:

Use the point-slope equation of a straight line:

y - y1 = m (x - x1) where m = the slope amd (x1, y1) is a point on the line.

Here:

m = (5- (-1)) / (5 - (-5))

= 6/10

= 3/5.

Substituting for m and  (5, 5):

y - 5 = 3/5(x - 5)

y - 5 = 3/5x - 3

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3 0
3 years ago
How many different 4 digit even numbers can be written using 0,5,6,3,8,7?
kherson [118]

Step-by-step explanation:

I assume the digits cannot be repeated in the numbers.

and that we don't want any numbers that start with 0, as that would be considered a 3- digit number, right ?

so, under these assumptions we have the question of in how many ways can we pull 4 digits out of 6.

if the sequence of the pulled digits would not matter, it would be combinations C(6, 4).

but because we are building actual numbers, the sequence does matter, and we use permutations P(6, 4).

P(6, 4) = 6!/(6-4)! = 6!/2! = 6×5×4×3 = 360

so, we can create 360 different numbers.

but not all of them are wanted.

we don't want the ones that start with 0. how many are those ?

since we are handling all digits in the same way and priority, there are an equal amount of numbers that start with a 0, or a 5, or a 6, or a 3, or a 8, or a 7.

so, 1/6 of the 360 numbers start with a 0, and we need to subtract them :

360 - 60 = 300 really 4-digit numbers

and from these 300 we only want even numbers. that means they can only end with 0, 6 or 8.

in the same way as for the first position, we have 1/6 of the more 300 numbers that end with one of these digits.

we allow 3 digits, so we have

3×1/6 × 300 = 1/2 × 300 = 150

that means we can write 150 different 4-digit even numbers out of these 6 digits.

6 0
2 years ago
Which of the following could be the equation of the function below?
rodikova [14]

Answer:

y = 0.5 cosine (4 (x - pi/2)) - 2

Step-by-step explanation:

Taking the general form:

y = A cosine (Bx - Cπ)) + D

In the following case. the constants are:

y = 0.5 cosine (4x - 2π)) - 2

A: 0.5

B: 4

C: 2π

D: -2

The range of this function is:

range = [-|A|+D, |A|+D]

range = [-0.5-2, 0.5-2]

range = [-2.5, -1.5]

Which coincides with "It has a maximum at negative 1.5 and a minimum at negative 2.5"

At x = 0, the function value is:

y = 0.5 cosine (4(0) - 2π)) - 2

y = 0.5 - 2 = -1.5

As indicated in "a curve crosses the y-axis at y = negative 1.5"

The period of the function is:

period: 2π/B

period = 2π/4 = π/2 or 2 cycles at π

as described in "It goes through 2 cycles at pi."

8 0
3 years ago
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