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
inysia [295]
2 years ago
11

Prove the trigonometric identity! Please help!! 50 Points!

Mathematics
1 answer:
Rudiy272 years ago
3 0

Answer:

:)

Step-by-step explanation:

For simplicity I will substitue x for β.

1-sin(2x)=(cosx-sinx)^2\\1-2sin(x)cos(x)=cos^2x-2sin(x)cos(x)+sin^2x\\1=cos^2(x)+sin^2(x)\\1=1

In the first step I used the identity

sin(2x)=2sin(x)cos(x)

And I factored out (cosx-sinx)^2

Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.

cos^2(x)+sin^2(x)=1

That's it!

You might be interested in
Draw graph x + y = 7 and x - y = 2 on the same graph
borishaifa [10]

Graphed in attached file and drawn!

8 0
3 years ago
Read 2 more answers
The table below shows a correct representation that 15 pounds (lb) of sugar cost $3:
SIZIF [17.4K]

Answer: True

Step-by-step explanation: There are 15 pounds and 3 dollars. 15 over 3 is $1 for 5 pounds.

4 0
2 years ago
Hello! It would help a lot if I had assistance with this question:
Reika [66]

It's an irrational number.

You can cross off terminating and repeating decimal so you're left with a rational or irrational number. A rational number is something that can be put into fraction form and/or have repeating or terminating decimals.

So our answer would be irrational.

7 0
3 years ago
Read 2 more answers
1.) Vivian combined different amounts of white paint, blue paint, and green paint to make 145 milliliters (ml) of paint of a new
Ivahew [28]
So here are the answers to the given questions above:
1. Since the equation is already given, what we are going to do is to solve for x first. 
<span>x + (2x – 10) + 1/2 (2x – 10) = 145
x + (2x -10) + x - 5 = 145
x + 2x + x - 10 - 5 = 145
4x = 145 +10 + 5
4x = 160 <<divide both sides by 4 and we get
x = 40.
Therefore, the amount of white paint is 40ml.
The amount of blue paint is 70ml and the green paint is 35ml.
So the difference between the a</span><span>mounts of white paint and blue paint Vivian combined is 30ml.
2. T</span>he equation of the line that passes through the points (-2, 1) and (1, 10) would be: <span>3x - y = -7, the last option. In order to check, just plug in the given ordered pairs.</span>
3 0
2 years ago
if your weekly salary is 1,015,how much do you have left each week after you pay for the following, rent - 443.50,cable tv - 23.
zheka24 [161]
Your answer would be $378.01
8 0
2 years ago
Read 2 more answers
Other questions:
  • How are the power rules for quotients and products similar? How are they different? Refer specifically to the way that the rule
    5·1 answer
  • Estimate first to the nearest whole number 6.07x3.29
    6·1 answer
  • | y-5) = 45<br> how you find y ?
    11·2 answers
  • Convert the given amount to the given unit.<br> 24 yd; ft
    5·1 answer
  • A regular hexagon has a radius of 20in. What is the approximate area of the hexagon
    10·2 answers
  • Can someone help me in this equation and send me a picture of the work
    12·1 answer
  • Write 178/48<br> as a percent.
    7·2 answers
  • How to find rations in triangles
    15·2 answers
  • I NEED HELP ASAP PLS
    12·2 answers
  • Lisa has 4 dogs. Each of the 4 dogs weighs an integer number of kg. No two of them weigh the same. Their total weight is 60 kg.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!