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
Let x be a real number. Find the lowest possible value of |5x^2 - 16| + |10x - 2|.
BlackZzzverrR [31]

Since the equations are for absolute value this means any negative number used the answer would become positive, so to get the lowest value possible x would need to equal 0, which would eliminate the x variable from the equations.

Replace x with 0 and solve:

|5(0)^2 - 16| + |10(0) - 2|

Simplify:

|0 - 16| + |0 - 2|

|-16| + |-2|

Combine:

|-18|

Absolute Value = 18

4 0
3 years ago
A shopkeeper bought a television for Rs. 10000 and he sold it at profit of 25%. What was the selling price of the television? Pl
-Dominant- [34]

Answer:

12,500

Step-by-step explanation:

125%/100% x 10000

12,500

6 0
3 years ago
How many teaspoons are in 15 milliliters? 1 tsp = 5 mL
zhannawk [14.2K]

Answer:

Milliliters to teaspoons (mL to tsp) converter, formulas and conversion table. ... 1 mL = 0.202884 tsp; 5 mL = 1.014 tsp; 10 mL = 2.028 tsp; 15 mL = 3.04

Step-by-step explanation:

hope it helps

8 0
3 years ago
Read 2 more answers
Which of the following is not approximately equivalent to one of the metric units: 1 kilometer, 1 meter, 1 kilogram, or 1 liter?
Lubov Fominskaja [6]
Liter is not equivalent to one of the metric units
3 0
3 years ago
What is the median of this set values?
Ierofanga [76]
The answer is D. 18.5
How? Because you have the numbers in order and cross the out it leaves you with 17, and 20 and the number between can be 19 or 18.5.

Hope I helped

Mark as brainliest?
5 0
3 years ago
Read 2 more answers
Other questions:
  • What multiplication fact can help you find 7 divided by 7
    8·2 answers
  • In a beach volleyball league, the Sea Slugs won 3 of their first 10 matches. The team's sponsor has told them they will lose all
    14·1 answer
  • Which expression is equivalent to 64 2/3?
    9·1 answer
  • In the straightedge and compass construction of the equilateral triangle below, which o the following reasons can you use to pro
    10·2 answers
  • Tiffany is packing her bags for her vacation. She has 8 8 unique toy animals, but only 4 4 fit in her bag. How many different gr
    7·1 answer
  • Sal needed 10.1 ft of 4-inch molding and 12.9 ft of 5-inch molding for his tree house.
    8·1 answer
  • Does anyone know what 4n-9=-9 is?? Its a two step equation problem with integers can someone please tell me the answer!?!?!?
    12·2 answers
  • Attila the Hun was a ruler of the Hunnic Empire. The Roman feared him greatly until his death since he made quite a habit of inv
    14·2 answers
  • -5x + 5= -25<br><br> What is the solution to this equation?​
    6·2 answers
  • Solve for x 8x - 3 = 5 (2x + 1)​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!