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
sesenic [268]
3 years ago
6

Prove this identity using the product-to-sum identity for sin... sin^2 x=(1-cos(2x))/(2)

Mathematics
1 answer:
Simora [160]3 years ago
4 0

Answer:

sin²x = (1 - cos2x)/2 ⇒ proved down

Step-by-step explanation:

∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)

(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)

∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x

∴ - cos2x + cos²x = -cos2x + (1 - sin²x)

∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides

∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x

∴ 1/2(1 - cos2x) = sin²x

∴ sin²x = (1 - cos2x)/2

You might be interested in
6. Evaluate 7C4.<br> 840<br> 210<br> 6<br> 35
AleksAgata [21]

Answer:

210

Step-by-step explanation:

8 0
3 years ago
3x^+5x+2=0 <br> need work shown plz
Alexxandr [17]

Answer:

{3x}^{2}  + 5x + 2 \\  =  {3x}^{2}  + 3x + 2x + 2 \\  = 3x(x + 1) + 2(x + 1) \\  = (3x +2)(x + 1)

7 0
2 years ago
Read 2 more answers
Create an equivalent ratio to 10:16 by dividing both sides by 2. What is the equivalent ratio?
Darya [45]

10 / 2 = 5

16 / 2 = 8

The equivalent ratio is 5:8

5 0
2 years ago
Suppose you have the following recursion formula a1 = 1, a2 = 2, and an = a(n - 1)+ a(n - 2) for integers n ≥ 3. How would you d
Firlakuza [10]
\left\{\begin{array}{ccc}a_1=1\\a_2=2\\a_n=a_{n-1}+a_{n-2}&for\ n\geq3\end{array}\right\\\\a_3=a_{3-1}+a_{3-2}=a_2+a_1\to a_3=2+1=3\\\\a_4=a_{4-1}+a_{4-2}=a_3+a_2\to a_4=3+2=5\\\\a_5=a_{5-1}+a_{5-2}=a_4+a_3\to a_5=5+3=8\\\vdots
6 0
3 years ago
In a game between two teams a and b, john is set to win 200 dollars if a wins, and 100 dollars if b wins. john calculates his ex
My name is Ann [436]
According to his calculations, b has a 3/10 chance to win

7 0
3 years ago
Other questions:
  • Ellen takes a multiple choice quiz that has 5 questions with 4 answers choices for Each question. What is the probability that s
    13·1 answer
  • If 7x+4=37, what is the value of 14x-1
    9·1 answer
  • triangle qrs has the angle measures shown. m∠q = (1x)° m∠r = (3x)° m∠s = (6x)° the measure of the obtuse angle equals
    7·2 answers
  • Traveling at 45 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 240 miles from Orla
    14·1 answer
  • Solve for indicated variable of
    8·1 answer
  • The grades in period 3 Algebra 2 have an average of 82% and vary by 12 percentage points. Formulate an absolute value equation t
    7·1 answer
  • If you borrow $200 for 12 years at
    11·2 answers
  • Helpp!!!!!!!!!!!!!!!​
    6·1 answer
  • Fill in the blanks with a positive or negative Integer
    11·1 answer
  • Explain why this quadrilateral is not a parallelogram.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!