answer.
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]
1 year ago
8

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

Mathematics
2 answers:
Ilya [14]1 year 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]1 year 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
A sociologist studying the difference in ages between husbands and wives obtained a random sample of 55 married couples. The mea
zalisa [80]

Answer:

2.1/√55

Step-by-step explanation:

simga divided by sample size

8 0
2 years ago
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH? 3 units 4 units 5 units 6 units
Nezavi [6.7K]
I think the points given here are plotted linearly: 

FGHI. in this case, we can tell that FG + GH + HI = FI. substituting to the expression devised, 2 units + GH + 1 unit = 7 units. This is equal to 3 units + GH = 7 units. GH is then equal to 4 units.

5 0
2 years ago
Read 2 more answers
Reza paid $4,500 as a down payment on a car. She then made equal monthly paments of $250. Reza paid a total of $10,500 for her c
monitta
10500-4500=6000

6000/250=24

So the answer is 24 months, or 2 years.
6 0
2 years ago
T varies inversely as the square root of u.<br>t = 3 when u = 4.<br>Find t when u = 49.​
RoseWind [281]

Answer:

t = \frac{6}{7}

Step-by-step explanation:

Given that t varies inversely as the square root of u then the equation relating them is

t = \frac{k}{\sqrt{u} } ← k is the constant of variation

To find k use the condition t = 3 when u = 4, thus

k = t\sqrt{u} = 3 × \sqrt{4} = 3 × 2 = 6

t = \frac{6}{\sqrt{u} } ← equation of variation

When u = 49, then

t = \frac{6}{\sqrt{49} } = \frac{6}{7}

6 0
1 year ago
3 4/7 - 3/5 as a fraction please help!
ladessa [460]

Answer:

2.97142857143 = 104/35

Step-by-step explanation:

On calculators, anytime we're doing a fraction problem and we use calculators, It doesn't give us the fractions all it gives us is decimals, but i finally got the fraction for you. hope this helped

Make sure nobody copied and pasted my answer because i would be WILLING TO report their answer for copying and pasting

7 0
1 year ago
Read 2 more answers
Other questions:
  • A kennel has 80 dogs in total dogs in total, some are puppies and some are adult dogs. The ratio of puppies to adult dogs in a k
    8·1 answer
  • amit works out at a gym for three quarters of an hours.he uses the treadmill for half the total workout session time and one thi
    11·2 answers
  • What did the athlete order when he needed a huge helping of mashed potatoes? unscramble the following letters: p, p, r, o, m, n,
    13·1 answer
  • How do i evaluate 256 1/4 .? this is algebra 2.
    15·1 answer
  • Della bought a tree seedling that was 2 1/4 feet tall. During the first year, it grew 1 1/6 Feet. After two years, it was 5 feet
    10·1 answer
  • 4abc + (-9abc) + 10d?
    15·2 answers
  • Sergio has p paintings in his art collection. He and other local painting collectors agreed to donate a total of 48
    5·1 answer
  • Which of the following equations could describe a square pyramid? Select all that apply.
    10·1 answer
  • The mapping of DEFG to D'E'F'G' is shown. 2 parallelograms have identical side lengths and angle measures. The second parallelog
    13·2 answers
  • Type the correct answer in the box. Round your answer to the thousandth place.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!