1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timurjin [86]
3 years ago
6

Verify the identity and explain how cot(x- pi/2)= -tan x

Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

Answer:

First, let's recall some usefull information:

- cot(x) = 1/tg(x) = cos(x)/sin(x)

- tan(x) = sin(x)/cos(x)

We also know that:

- cos(x - pi/2) = sin(x)

- sin(x - pi/2) = -cos(x)

Now we can use those relationships and get:

cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)

So we have verified the identity, and explained step by step why the identity is true.

You might be interested in
8. Mr. Azu invested an amount at rate of 12% per annum and invested another amount. GHe
drek231 [11]

Answer:

GH¢.37480.36

Step-by-step explanation:

Let the amount invested at 12% per annum =GH¢.x

He  invested 580.00 more than the first at 14%.

Therefore:

The amount invested at 14% =GH¢.(x+580)

For each investment option:

Amount Accrued =Principal + Simple Interest

Amount Accrued at 12%

=x+x*0.12\\=1.12x

Amount Accrued at 14%

=(x+580)+0.14(x+580)\\=x+580+0.14x+81.2\\=1.14x+661.2

Mr. Azu had total accumulated amount of  GH42,358.60

Therefore:

1.12x+1.14x+661.2=42,358.60

2.26x=42,358.60-661.2

2.26x=41697.4

x=GH¢.18450.18

Therefore:

The amount invested at 12% per annum= GH¢.18450.18

The amount invested at 14% per annum= GH¢.18450.18+580

=GH¢.19030.18

Mr Azu's Total Investment = 18450.18 +19030.18

=GH¢.37480.36

6 0
3 years ago
A 6 sided cube with sides labeled 1,2,3,4,5 and 6 is rolled 50 times. What is a good prediction for the number of times 5 will b
Liono4ka [1.6K]

Answer:

A good prediction is that the number 5 will be rolled 8 times

Step-by-step explanation:

Here, we want to get the number of times 5 would occur in a roll of 50

firstly, we need the probability of having a 5 come up

To do this, we have to divide the number of 5’s by the count of possible numbers

We have this simply as 1/6

Now, we have to multiply this by 50

we have this as;

1/6 * 50 = 8.333

This is approximately 8

so we have it that in 50 rolls, we can have the number 5 coming up 8 times

7 0
3 years ago
Find the area shaded <br> PLEASE HELPPPPP
Ulleksa [173]
3+6-7=2
2x5/2=5(1)
6x5/2=15(2)
The area shaded: (1)+(2) => 5+15=20
Answer: 20
5 0
3 years ago
What is the value of c? 13c−22=−17c+14 Enter your answer in the box. c =
anygoal [31]
13c+17c=14+22
30c=36
c=36÷30
c=6÷5
So c= 6 over 5
5 0
3 years ago
Mo has some red and green sweets He eats 1/3 of the sweets ¾ of the sweets left over are green Mo buys himself 30 more green swe
maks197457 [2]

Answer:

176 sweets

Step-by-step explanation:

162 - 30 = 132 this finds the 3/4 before he purchased more sweets.

132 divided by 3 = 44 This finds how many thirds their are. (We do 3 not 4 because 1/4 is already gone and there are only 3rds lefts.)

44 x 4 = 176 This finds the total before he purchased more.

Hope this helps!

4 0
3 years ago
Other questions:
  • Distance between -1.75 and 1.5 on a number line
    10·1 answer
  • For her birthday, Kendra received a gift card in the mail from her grandparents. The gift card was worth $50. Kendra thought, si
    13·1 answer
  • What is the solution to 3(2x-1)=(6x+5)
    10·1 answer
  • How do i write 2 1/5 as a fraction
    14·2 answers
  • Discrete Math HELP!
    10·1 answer
  • Geometry Help! The Picture is below!
    12·1 answer
  • (4,-1), (-5,9) midpoint
    14·2 answers
  • A container holds 600 kg of rice . 33 1/3% of rice was distributed to groceries . How many kilograms of rice remained in the con
    9·1 answer
  • Can somebody please help me on this im being timed ​
    8·1 answer
  • Aidan wrote the interval (-5, 4) and claimed it was equivalent to the graph below. Explain what he did
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!