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
Brilliant_brown [7]
3 years ago
5

Prove that:- (1-sinA)(1+sinA)÷(1+cosA)(1-cosA)=cot^2A​

Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 , then

sin²x = 1 - cos²x and cos²x = 1 - sin²x

Consider the left side

\frac{(1-sinA)(1 + sinA)}{(1+cosA)(1-cosA)} ← expand numerator/denominator using FOIL

= \frac{1-sin^2A}{1-cos^2A}

= \frac{1-(1-cos^2A)}{1-(1-sin^2A)}

= \frac{1-1+cos^2A}{1-1+sin^2A}

= \frac{cos^2A}{sin^2A}

= cot²A = right side , thus proven

You might be interested in
Would you classify the number 289 as a perfect​ square, perfect​ cube, both, or​ neither?
Black_prince [1.1K]

Answer:

a perfect square because 17 x 17 = 289

It's not a perfect cube

Step-by-step explanation:

7 0
3 years ago
Her senior year of college, Giselle decides to live off campus. In order to cover rent, she wants to get a job as a waitress.
SCORPION-xisa [38]
She would have to work at least 12 hours.

At Chili’s, she would be paid 11.75x + 33 per week, with x being the number of hours she worked.

At the Cheesecake Factory, Giselle would be paid 14.50x per week, with x being how many hours she worked.

We want to know how many hours Gisele would have to work for her pay at the Cheesecake Factory to be more than her pay at Chili’s

The inequality 11.75x + 33 < 14.50x is what has to be set up to solve the problem. At how many hours will the pay on the left be less than the pay on the right?

11.75x + 33 < 14.50x
33 < 2.75x
12 < x

So Giselle has to work greater 12 hours a week for her to make more money at the Cheesecake Factory.
5 0
3 years ago
O 12 units<br> O 15 units<br> O 20 units<br> O 25 units
nadezda [96]

Answer:

12 units

Step-by-step explanation:

Because the two triangles are similar:

\dfrac{x}{9}=\dfrac{16}{x} \\\\\\\dfrac{x^2}{9}=16 \\\\\\x^2=144 \\\\\\x=12

Hope this helps!

3 0
3 years ago
A container has 3 apple juice boxes, 4 grape juice boxes and 5 orange juice boxes. Alex picks one juice box, drinks it and then
Eduardwww [97]

Hey!

Grape over total: \frac{4}{12}

After he drinks 1, there will be 1 less. That means it will be over 11

Orange over total: \frac{5}{11}

Now multiply the fractions

\frac{4}{12} \times \frac{5}{11} = \frac{20}{132} \rightarrow \frac{10}{66} \rightarrow \frac{5}{33}

That means the probability is: \frac{5}{33}

Good luck and hope this helps! :)

4 0
3 years ago
By using the table in the handbook, the present value of $12,000 for six years compounded at 6 percent semiannually is
denis23 [38]
Take a look at the attachment to see the solution.
A = future value
P = principal (P = 12,000)
r = interest rate (r=6)
n = time periods (n=12)

6 0
3 years ago
Other questions:
  • Areas of the circles ?
    11·1 answer
  • −5x+4y=38 −x+2y=10 solve by elimination
    5·1 answer
  • The length of Joseph’s rectangular poster is two times it’s width. If the perimeter is 24 inches, what is the area of the poster
    9·1 answer
  • I need help now if baby yoda is to live in the next episode in Mandalorian
    13·1 answer
  • Y = 2x + 1<br> y = -2x + 1<br> y = -2x - 0.5<br> y = 2x - 0.5
    7·1 answer
  • A rocket was launched into the air from a platform above the ground
    5·1 answer
  • Please just help me now! Offering 59 Brainly points!
    14·2 answers
  • The lengths of the sides of a triangle are in the ratios 2:6:7
    8·1 answer
  • How to find x in a parallelogram?
    8·1 answer
  • If m5 =x which angles also have a measure of x? Select all that apply
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!