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3 years ago

Prove that sinΘcosΘ=cotΘ is not a trigonometric identity by producing a counterexample.

Mathematics

1 answer:

yan [13]3 years ago

4 0

<span>sin x + cos x = l would be the answer</span>

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Hey can you please help! posted picture of question

frosja888 [35]

The solution of the system can be x - 3y = 4 only if both the equations can be simplified to x - 3y = 4.

This will mean that both the equations will result in the same line which is x - 3y = 4 and thus have infinitely many solutions.

Second equation is:

Qx - 6y = 8
Taking 2 common we get:

(Q/2)x - 3y = 4

Comparing this equation to x- 3y = 4, we can say that

Q/2 = 1
So,
Q = 2

Therefore, the second equation will be:

2x - 6y = 8

5 0

4 years ago

You want to purchase a house in 10 years. You estimate the cost will be $184,500.00. You want to make a 20% down payment and pay

Ilia_Sergeevich [38]

Use the formula of the future value of annuity ordinary and solve for pmt
First deducted the amount of down payment
184,500−184,500×0.20=147,600

Pmt=147,600÷(((1+0.085
÷12)^(12×10)−1)÷(0.085÷12))
=784.53 per month

5 0

3 years ago

Lenox ironed 1/4 of the shirts over the weekend. she plans to split the remainder of the work eqaully over the next 5 evenings?

Anettt [7]

A. If she completed 1/4, 3/4 are still left to be done over 5 days.
To find out how much per day, divide 3/4 by 5 (multiply the first number by the reciprocal of the second).
3/4*1/5= 3/20.

Final answer: 3/20

b. If she irons 3/20 a day, she should iron 6/20 or 3/10 over the course of two days, Thursday and Friday. 3/10 of 40 is 40*0.3= 12

Final answer: 12 shirts

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to 9p+9p

mafiozo [28]

Answer:

18p? I don't know what other expressions could be equivalent. I just added 9p to 9p to get my answer.

8 0

3 years ago

The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show

sattari [20]

Answer:

D. $Q_3=47$

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

$Q_3=\frac{3}{4}*(n+1)^{\text{th term}}$ , where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

$Q_3=\frac{3}{4}*(11+1)^{\text{th term}}$

$Q_3=\frac{3}{4}*(12)^{\text{th term}}$

$Q_3=3*3^{\text{th term}}$

$Q_3=9^{\text{th term}}$

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

3 0

4 years ago

Read 2 more answers