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
Irina-Kira [14]
2 years ago
8

Verify the identity.

1" title="cot (x-\frac{\pi }{2})=-tan" alt="cot (x-\frac{\pi }{2})=-tan" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
aleksley [76]2 years ago
7 0

Answer:

True

Step-by-step explanation:

assuming that you meant to write

cot (x-π//2) = - tan x

the identity is TRUE because,

- you can graph cot (x-π//2)  and  - tan x, and see that the graphs overlap

OR

-you solve for cot (x-π/2)

useful to know is that :

cot x=1/tan x, tan x = sin x/cos x,  

cos(x) =cos(-x), sin(-x) = -sin x,

cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = 1/tan (x-π/2) , yet tangent is sin x/cos x

cot (x-π/2) = cos (x-π/2) /sin (x-π/2) , factor -1

cot (x-π/2) = cos -(π/2-x) /sin -(π/2-x),  use facts: cos(x) =cos(-x), sin(-x) = -sin x

cot (x-π/2) = cos (π/2-x) / -sin (π/2-x), use cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = sin x / -cos x , again sin x /cos x = tan x

cot (x-π/2) = -tan x

You might be interested in
Determine whether the random variable is discrete or continuous. a. The distance a baseball travels in the air after being hit.
vodomira [7]

Answer and explanation:

Discrete random variables can be counted as integers and you can't divide them. Continuous random variables are counted as real numbers and are magnitudes that can´t be counted as an exact number (there will always be an uncertainty in the measurement).

a. The random variable is continuous. Distance is a measurement.

b. The random variable is discrete. You can count how many people are sitting at a computer.

c. The random variable is continuous. Weight is a measurement.

d. The random variable is discrete. You can count how many fishes were caught.

e. The random variable is discrete. You can count how many hints a web site had.

7 0
3 years ago
Find an<br> equivalent ratio in simplest terms:<br> 24 : 40
satela [25.4K]

Answer:

An equivalent ratio in simplest term is: 3 : 5

8 0
2 years ago
Read 2 more answers
How many solutions will there be to the following equation?16x^2=100
djverab [1.8K]

Answer:

2 solutions; x=2.5     x=-25

Step-by-step explanation:

16x^2 = 100

x^2 = 100/16

x^2 = 6.25

x = (+-) sqrt 6.25

x = (+-) 2.5

4 0
3 years ago
PLEASE HELP I HAVE 10 MINUTES LEFT
Lena [83]

Answer:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

Step-by-step explanation:

The cost equation is given as:

C=0.04x^2-5x+800

This is a quadratic equation in general form, which is:

y=ax^2+bx+c

Matching, we can say:

a = 0.04

b = -5

c = 800

The minimum occurs at  x=-\frac{b}{2a}

and the minimum value would be to place that "x" value into the equation.

First, we find the minimum using values of a and b:

x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5

Plugging this into original, we get:

C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75

Rounding off to nearest whole number, we can say:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

4 0
3 years ago
The mean of the data set is 15.What number is missing? 9,12,16,18,23
maxonik [38]

The number 12 is missing in the data set.

<u>Step-by-step explanation</u>:

  • The numbers are 9,12,16,18,23.
  • The missing number is assumed to be 'x'

Mean = Sum of the integers / Total number of integers.

15 = (9+12+16+18+23+x) / 6

15 = (78+x) / 6

90 = 78+x

x = 90-78

x = 12

3 0
3 years ago
Other questions:
  • It's a little blurry but please help
    15·2 answers
  • How does the tape diagram look like
    7·1 answer
  • How to integrate cos^-2x . Question from Alevel Pure Maths 3 ​
    10·1 answer
  • Item 2
    10·1 answer
  • How many cups are in 1 gallon?
    7·2 answers
  • PLEASE ANSWER!!! I WILL GIVR U BRAINLIEST!!
    5·2 answers
  • Which sentence best defines parallel lines?
    12·2 answers
  • What is the square root for 169
    9·2 answers
  • Which of the functions below could have created this graph?
    6·1 answer
  • Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!