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
lara [203]
3 years ago
8

Prove this (sinx-tanx)(cosx-cotx)=(sinx-1)(cosx-1)

Mathematics
2 answers:
Ilya [14]3 years ago
6 0

<span><span>(<span>sinx</span>−<span>tanx</span>)</span><span>(<span>cosx</span>−<span>cotx</span>)</span></span>

<span>=<span>(<span>sinx</span>−<span><span>sinx</span><span>cosx</span></span>)</span><span>(<span>cosx</span>−<span><span>cosx</span><span>sinx</span></span>)</span></span>

<span>=<span>sinx</span><span>(1−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(1−<span>1<span>sinx</span></span>)</span></span>

<span>=<span>sinx</span><span>(<span><span>cosx</span><span>cosx</span></span>−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(<span><span>sinx</span><span>sinx</span></span>−<span>1<span>sinx</span></span>)</span></span>

<span>=<span><span>sinx</span><span>cosx</span></span><span>(<span>cosx</span>−1)</span><span><span>cosx</span><span>sinx</span></span><span>(<span>sinx</span>−1)</span></span>

<span>=<span>(<span>cosx</span>−1)</span><span>(<span>sinx</span>−1<span>)</span></span></span>

faltersainse [42]3 years ago
4 0
Distribute first
sinx cosx - sinx cotx - cosx tanx+tanx cotx
sinx cosx - sinx (cosx/sinx) - cosx (sinx/cosx) + tanx (cosx/sinx)
sinxcosx - cosx - sinx +1
and factor
cosx(sinx -1) -1(sinx - 1)
(sinx -1)(cosx-1)
You might be interested in
URGENT HOW MANY STUDENTS SPEAK SPANISH? and it isn’t 14 I tried that and it was wrong
Ray Of Light [21]

Answer:

46 students

Step-by-step explanation:

Brainliest pls? hope it helps :)

Have a good day/night

3 0
3 years ago
Find the size of the angle c !!
Vinil7 [7]

Answer:

a= 31

b=92

c=44

Step-by-step explanation:

8 0
3 years ago
What is the measure of angle ABC of a circle
RoseWind [281]

Answer:

the angle <ABC is equal to 65°

8 0
3 years ago
The side of a square is 2.5 cm . Find its perimeter and area
nika2105 [10]

Answer:

Perimeter: 2.5+2.5+2.5+2.5=10.00

Area: 2.5x4=10

Step-by-step explanation:

6 0
3 years ago
a fruit market sold 3,849 apples 3,498 oranges,and 3894 pears in one day.round each number to the nearest hundred.then order the
Ainat [17]
First is pears ,next is apple, and the last is oranges. 3,900, 3800, 3500. I hope that this helps.
5 0
3 years ago
Other questions:
  • ]What is the third quartile (Q3) of the data set? 157, 77, 97, 97, 144, 136, 132, 152, 72 A. 157 B. 148 C. 132 D. 87
    6·2 answers
  • Rachel's science class places weights on a scale during an experiment. Each weight weighs 8.1 kilograms. If the class puts 9 wei
    10·1 answer
  • If f(x)=4x-1 and g(x)=x^2+7 ,find G(f(x))
    7·1 answer
  • What would the answer to this question be? Picture below
    12·2 answers
  • CAN SOMEONE HELP ME ANSWER THIS ​
    14·1 answer
  • you buy two rolls of wrapping paper. each roll has the same lateral surface area. what is the diameter of roll B?
    10·1 answer
  • 1/2 as percnatge ingotiridiuririririrjrjrjrrjrjjrjrjr
    11·2 answers
  • Solve the quadratic equation numerically <br> - 4x = -x + 12
    11·1 answer
  • Use each of the digits 2, 3, 7, and 8. Make it two different multiplication problems so that each product is larger than 5000. U
    11·1 answer
  • During a huge snowstorm in the White Mountains last year, it snowed 67.5 cm In one day. How much did it snow in meters?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!