answer.
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
krok68 [10]
2 years ago
8

prove that ( sin theta cos theta = cot theta ) is not a trigonometric identity by producing a counterexample

Mathematics
1 answer:
user100 [1]2 years ago
8 0

Answer:

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Assume θ with a value and substitute with it.

Let θ = 45°

So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2

R.H.S = cot θ = cot 45 = 1

So, L.H.S ≠ R.H.S

So, sin θ cos θ = cot θ is not a trigonometric identity.

You might be interested in
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
Assoli18 [71]

Answer:

The sum is a binomial with a degree of 6

Step-by-step explanation:

we have

(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)

Group terms that contain the same variable

(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y

0-2xy^{5}+3x^{4}y

-2xy^{5}+3x^{4}y

The sum is a binomial ( two terms) with a degree of 6  

-2xy^{5} has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)

6 0
2 years ago
Read 2 more answers
Design Mati QUIZ
Readme [11.4K]

Answer:

26

Step-by-step explanation:

7.5% of 20$ is 1.50, so you add 19.99+1.50 and you get 21.49$. Then all you do is subtract 550 from 21.49 until you can't. You can subtract 21.49 from 550 26 times.

8 0
2 years ago
Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersect
Free_Kalibri [48]

Answer:

C. 22

Step-by-step explanation:

Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.

To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°:

6x-36=96\\ \\6x=96+36\\ \\6x=132\\ \\x=22

6 0
2 years ago
Read 2 more answers
Smith High School offers a baseball camp that is $75 for 4 days of camp and a basketball camp that is $100 for 5 days of camp. W
castortr0y [4]
A) baseball camp by $1.25 a day

5 0
2 years ago
Read 2 more answers
Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.
butalik [34]
(a) Data with the eight day's measurement.
Raw data:      [60,58,64,64,68,50,57,82], 
Sorted data:  [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean            = 62.875
median         = (60+64)/2 = 62
1st quartile   = (57+58)/2 = 57.5
3rd quartile  = (64+68)/2 =  66
IQR = 66 - 57.5 = 8.5

(b) Data without the eight day's measurement.
Raw data:      [60,58,64,64,68,50,57]
Sorted data:  [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean            = 60.143
median         = 60
1st quartile   = 57
3rd quartile = 64
IQR = 64 -57 = 7

Answers:
1. The average is the same with or without the 8th day's data.  FALSE
2. The median is the same with or without the 8th day's data.  FALSE
3. The IQR decreases when the 8th day is included.                  FALSE
4. The IQR increases when the 8th day is included.                   TRUE
5. The median is higher when the 8th day is included.              TRUE

8 0
2 years ago
Read 2 more answers
Other questions:
  • What value of x is in the solution set of 3(x – 4) ≥ 5x 2? A) -10 B) -5 C) 5 D) 10
    10·2 answers
  • 9 = 90, 8 = 72, 7 = 56, 6 = 42, 3 = ?
    13·2 answers
  • In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50cm.
    6·1 answer
  • A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the popula
    8·2 answers
  • Alex the electrician needs 34 yards of electrical wire to complete his job. He has a coil of wiring in his workshop. The coiled
    11·1 answer
  • Find the perimeter of the figure if a = 1, b = 4, c = 6, d = 5. ​
    8·1 answer
  • A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height of the rocket in
    5·1 answer
  • In a high school there are 1200 students. Estimate the probability that more than 130 students were born in January under each o
    12·1 answer
  • A group of students held a fundraiser last year and raised $950 for charity. This year, they raised $1,045.
    8·1 answer
  • Line segment QR is dilated to create line segment Q'R' using the dilation rule DT,1.5. Point T is the center of dilation. Line s
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!