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
Ainat [17]
2 years ago
6

If a cot α = 1 and b cos α = 1, find a2 – b 2​

Mathematics
1 answer:
S_A_V [24]2 years ago
4 0

The equivalent expression of the<u> different of two square</u> is -1

Given the following expressions

a cot α = 1

a = 1/cot α = sinα/cosα

b = 1/cos α

We are to find the expression a² - b²

According to <u>difference of two squares;</u>

a² - b² =  (a + b) (a - b)

Substitute the given expressions into the formula as shown:

a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1

This shows that the equivalent expression of the<u> difference of two squares</u> is -1

Learn more here: brainly.com/question/11084694

You might be interested in
Audrey and her family are discussing how to pay for her college
Elan Coil [88]

Answer:

$137.50

Step-by-step explanation:

11,000 x .15 (100-.85)=$1.650 amount she will have to pay annually.

$1,650/12months = $137.50 is minimum to save monthly.

4 0
2 years ago
so the volume is that of a cylinder V=hpir^2 h=8 r=2 pi=3.141592 V=8*3.141592*2^2 V=8*3.141592*4 V=32*3.141592 V=100.530944 roun
Mashcka [7]
Volume=(height)(pi)(radius^2)
Volume=(8)(3.141592)(2^2)
V=(8)(4)(3.141592)
V=(32)(3.141592)
V=100.530944

7 0
3 years ago
(20 points) please give me motivation to study and study tips or test taking tips for finals. it would be greatly appreciated.
Daniel [21]

Answer: Think about graduating. Think about never having to take the courses again. You're almost at the finish line! It'll be worth it. You've worked hard all year for this. You can do it!

Study tips: I would recommend Quizlet! They have a section that generates study games. It's a lot more fun than normal studying. It's also a good idea to make a goal for yourself. Try to make a challenge of achieving a certain score! By the time you accomplish said score, you'll find that you've learned a lot. Another tip is to make sure you take breaks. If you work too long without giving yourself a break, it will become harder to focus and your brain will become tired. Just don't get too distracted! set yourself an alarm during break times to help you stay on task. If you become frustrated with a certain subject or task, take a break from that task. Use this time as an opportunity to work on another subject. You can begin working on the first subject again once you feel refreshed. A lot of this may sound redundant, but hopefully it will help at least a little bit. Good luck!

6 0
3 years ago
PLEASE HELP!
WINSTONCH [101]

Answer:

Had a problem in school like this, all you gotta dois ta

4 0
3 years ago
Please answer correctly !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Over [174]

Answer:

n = 11

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Equality Properties
  • Vertical Angles: Angles that are across from each other and are congruent

Step-by-step explanation:

<u>Step 1: Set up equation</u>

<em>Vertical angles must be congruent.</em>

(6n - 4)° = (5n + 7)°

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Subtract 5n on both sides:                    n - 4 = 7
  2. Add 4 to both sides:                               n = 11
8 0
3 years ago
Other questions:
  • Danielle will use the instructions in the box below to make a cleaning solution I
    11·1 answer
  • Create a radical that would simplify to the radical indicated.
    7·1 answer
  • C is the circle with the equation x^2+y^2=1
    12·1 answer
  • Y-5 + 2y-13 + 3y-21 = 360
    13·1 answer
  • Solve the system y = -x + 7 and y = -0.5(x - 3)2 + 8
    12·2 answers
  • Xavier can work no more than 40 hours in a week. He has already worked 24 hours this week. What is the maximum number of 8-hour
    14·2 answers
  • What is the form of slope intercept form. y=mx+b?
    15·1 answer
  • Help please i’m confused
    13·1 answer
  • I need help about this ética ofnthe fillowing​
    6·1 answer
  • Which of the following has an exact cube root?<br> a. 125<br> b. 49<br> C. 24
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!