All categories

3 years ago

Verify the following identity: (csc theta -cot theta )/(sec theta -1) A. sec theta B. cos theta C. cot theta D. sin theta

Mathematics

1 answer:

alexdok [17]3 years ago

3 0

Answer:

C. cot theta

Step-by-step explanation:

(csc theta -cot theta )/(sec theta -1)

csc = 1/ sin

cot = cos / sin

sec = 1 / cos

Let x = theta

(1/ sin x -cos x / sin x )/(1/ cos x -1)

Getting a common denominator in the denominator and combining terms

(1- cos x)/ sinx / ( 1 - cos x) / cos x

(1- cosx) (1- cosx)

----------- ÷ ------------

sinx cos x

Copy dot flip

(1- cosx) cosx

----------- * ------------

sinx 1 -cos x

Cancel like terms

cos x / sin x

cos / sin = cot

cot x

cot theta

You might be interested in

Find the mean and mode for this set of data. 5, 6, 8, 3, 5, 7, 4, 11, 5, 7

dangina [55]

Answer:the mean is 6.1 the mode is 5 and 7.

Step-by-step explanation: the mean is 6.1 because the number add up to 61 and there are 10 numbers 61/10=6.1

The mode is 5 and 7 because they occur most frequently

3 0

3 years ago

What is 3.25 x $1.40

Korolek [52]

Answer:

if you make the 3.5 equal 7/2

and the 1.40 equal 7/5 its will be more easier

so7/5 × 7/2 its 4.9

sorry guys its not 4.9 i made mistake with 3.25 i was thinking that it was 3.50 any wwy

i have good method too

we can make 3.25 equal 13/4 and 1.40 equal 7/5 the multiply it

we will find 91/20 but we have problem its The 10 dont worry we can take the 10 from the both number and we will get 9.1/2 and We can devide easily now and the answer is 4.55

sorry iam trying so hard to speak engilish well sorry if u cannot understand me big respet for all the students

8 0

3 years ago

Read 2 more answers

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes. What is the probability that the mail arr

VashaNatasha [74]

Answer:

0.5

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X higher than x is given by the following formula.

$P(X > x) = \frac{b - x}{b-a}$

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes.

This means that $a = 5, b = 45$ .

What is the probability that the mail arrival time is more than 25 minutes on a given day?

$P(X > 25) = \frac{45 - 25}{45 - 5} = 0.5$

So the probability that the mail arrival time is more than 25 minutes on a given day is 0.5.

8 0

3 years ago

Which of the following is a perfect square?

OverLord2011 [107]

The answer is D. 100. I hope this got to you in time.

7 0

3 years ago

Read 2 more answers

Can y’all help me on this one What’s the answer?

Rudik [331]

Answer:

x = 2

Step-by-step explanation:

First translate the image into an equation using the key. Once you do that, your equation should look like this:

(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)

________________________________

3x - 5 = -2x + 5

(given)

________________________________

3x - 5 = -2x + 5

+5. +5

(addition property of equality)

*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*

__________________________

3x = -2x + 10

+2x +2x

(addition property of equality)

*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*

________________________________

5x = 10

÷5. ÷5

(division property of equality)

*divide by 5(GCF) on both sides to isolate

x by itself*

________________________________

x = 2

________________________________

If you want to test this solution, substitute this back into the equation.

x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1

7 0

3 years ago