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
Over [174]
3 years ago
11

How do you prove: csc^[email pro

tected]^[email protected] = csc^[email protected] -1
Mathematics
2 answers:
Elina [12.6K]3 years ago
6 0
cscx=\frac{1}{sinx};\ sin^2x+cos^2x=1\to cos^2x=1-sin^2x\\----------------------------\\\\csc^2xcos^2x=csc^2x-1\\\\L=csc^2xcos^2x=\frac{1}{sin^2x}\cdot cos^2x=\frac{cos^2x}{sin^2x}\\\\R=csc^2x-1=\frac{1}{sin^2x}-1=\frac{1}{sin^2x}-\frac{sin^2}{sin^2x}=\frac{1-sin^2x}{sin^2x}=\frac{cos^2x}{sin^2x}\\\\\boxed{L=R}
sertanlavr [38]3 years ago
4 0
LHS\\ \\ ={ cosec }^{ 2 }\theta { cos }^{ 2 }\theta \\ \\ ={ cosec }^{ 2 }\theta \left( 1-{ sin }^{ 2 }\theta  \right)

\\ \\ ={ cosec }^{ 2 }\theta -{ cosec }^{ 2 }\theta { sin }^{ 2 }\theta \\ \\ ={ cosec }^{ 2 }\theta -\frac { 1 }{ { sin }^{ 2 }\theta  } \cdot { sin }^{ 2 }\theta

\\ \\ ={ cosec }^{ 2 }\theta -1\\ \\ =RHS
You might be interested in
Please help pls and ty​
natali 33 [55]
No because the exact opposite of -3 would be 3.
7 0
3 years ago
Pls help help help help help help ​
Sati [7]

Answer:

-89

Step-by-step explanation:

-89

-89= 10(-7) - 19   ----------->  -70 - 19

5 0
3 years ago
Read 2 more answers
2 diminished by 7 times a number
jolli1 [7]

The answer is 2-7x I'm 100% sure

3 0
3 years ago
Find the prime factors.<br> 7) 48
FinnZ [79.3K]

Step-by-step explanation:

48 = 48 \times 1 \\ 48 = (24 \times 2) \times 1 \\ 48 = (12 \times 2) \times 2 \times 1 \\ 48 = (6 \times 2) \times 2 \times 2 \times 1 \\ 48 = (3 \times 2) \times 2 \times 2 \times 2 \times 1

7 0
2 years ago
Draw a figure in the coordinate plane with at least three of following properties: 6 vertices 1 pair of parallel sides At least
loris [4]

Answer:

Step-by-step explanation:

you have to draw it

5 0
3 years ago
Read 2 more answers
Other questions:
  • A painter mixes 6 parts red paint and 8 parts yellow to make dark orange paint. Which equation can the painter use to calculate
    8·1 answer
  • How many of the 200 total high school students would you expect to be less than68 inches tall?
    14·1 answer
  • How are the values of the 3s in 33,000 related​
    13·1 answer
  • Find the area of a regular hexagon with the given measurement. 6-inch radius
    15·2 answers
  • Mike and his best friend found some money under the couch. they split the money evenly, each getting $6.02. how much money did t
    15·1 answer
  • A figure is shown
    12·2 answers
  • 0.4121212 is an example of a repeating decimal.<br> True<br> False
    9·1 answer
  • Please help me no links!!
    5·1 answer
  • PLEASE HELP ME!!!! ITS REALLY URGENT!
    11·2 answers
  • Write a two column proof. (answer what you can if possible)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!