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
Lyrx [107]
3 years ago
14

Verify the pythagorean identity 1 + c o t ^2 θ = c s c ^2 θ

Mathematics
1 answer:
Grace [21]3 years ago
6 0

Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1

Therefore, by substitution, you can rewrite the identity as shown below:

1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta

Simpliying, you obtain:

\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta

The identity is verified.

You might be interested in
2. Multiply.<br><br> (3x + 2)(5x^2 - 2x + 6)
alukav5142 [94]
15x^3+4x^2+14x+12
Multiply 3x by every value in the second bracket. Then multiply 2 by every value in the second bracket. Add like terms. (Only answers with the same square are like terms.)
7 0
3 years ago
If 5 miles is 8km . Convert 33.7 km into miles
LenKa [72]

Answer:

20.94021

Step-by-step explanation:

mark me brainlist

7 0
2 years ago
Read 2 more answers
Giving thanks and brainliest for best answer &lt;3
UNO [17]
The answer is D 80-99
4 0
3 years ago
Read 2 more answers
Evaluate the function.<br> f(x) = -x2-12 find f(-3)
Mekhanik [1.2K]
Answer: -21

Jdjdjdjzkzjzjxhjcjxjc
4 0
2 years ago
Read 2 more answers
A collection of quarters and nickels is worth $3.70. There are 22 coins in all. How many of each coin are there?
ladessa [460]
9 numbers of nickels

13 numbers of quarters
3 0
2 years ago
Other questions:
  • Plzzzzz help ASAP!!!!!!!!!
    6·2 answers
  • write a division problem involving the the division of a decimal by a whole number with an estimated quotient of 7. Plz help!!!
    12·1 answer
  • Quadrilateral ABCD is inscribed in a circle. m A is 64°, m B is (6x + 4)°, and m C is (9x - 1)°. What is m D?
    8·1 answer
  • Name the coordinates of point N.<br><br> A.) 1, 3<br><br> B.) 1, 4<br><br> C.) 3, 1<br><br> D.) 4, 1
    10·2 answers
  • Which of the following numbers is rational? Assume that the decimal patterns continue.
    12·1 answer
  • Which of the following statements is correct? Group of answer choices For day-to-day business data analysis, most firms rely on
    8·1 answer
  • Which equation represents the statement L is between R and T.
    11·1 answer
  • Scientific notation The table shows the amount of money raised by each region the four regions used a total of $ (5.38×10^4) How
    12·1 answer
  • mr.torres is 6 1/4 feet tall. Mr. torres is 5 1/2 feet tall. How much shorter is Mrs. torres than her husband PLEASE HURRY!
    8·2 answers
  • Translate the sentence into an equation.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!