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
Anton [14]
3 years ago
11

Prove that sin^4x - cos^4x = 2sin^2x - 1

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Step-by-step explanation:

Step 1: From the given equation, taking the Left Hand Side (LHS) of the equation

Step 2: Simplify the LHS to make it equal to the Right Hand Side (RHS)

LHS = sin^4x - cos^4x = (sin²x)² - (cos²x)²

       = (sin²x - cos²x)(sin²x + cos²x)

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

       = 2 sin²x - 1

       = RHS

Hence proved.

You might be interested in
Which is most needed in order for groupwork technology to succeed?
ki77a [65]
The answer is D. An agreement from everyone on the collaborative team to share equally in the work load.
5 0
2 years ago
Assume that a hypothesis test to support the given claim will be conducted. Identify the type l error for the test. A skeptical
Mars2501 [29]

Answer:

Option D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.

Step-by-step explanation:

We are given the following information:

A hypothesis test to support the given claim that the proportion of Americans that have seen a UFO is less than 5 in a thousand.

Type I error:

  • Type I error is the rejection of a true null hypothesis that is we reject the null hypothesis given it is true.
  • It is also known as a false positive.

First, we design the null and the alternate hypothesis

H_{0}: \text{ The proportion of Americans that have seen a UFO is equal to 5 in a thousand}\\H_A: \text{ The proportion of Americans that have seen a UFO is less than 5 in a thousand}

Thus, for the given hypothesis test, we describe type I error as:

Option D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.

3 0
4 years ago
A swimming pool had 30 gallons of water in it. Then water was added to the pool at a rate of 5 gallons per second. The function
alexdok [17]
................The answer is C
5 0
3 years ago
C + x = xg solve for x<br><br> How do I "factor out" the x from the g?
almond37 [142]
X<span>(6 + </span>x)(x<span> + -4) = 24x ... + 2x</span>2<span> + </span>x3<span> = 0 </span>Factor out<span> the Greatest Common Factor (GCF), '</span>x<span>'. </span>x<span>(-48 + 2x + </span>x2<span>) = 0 ... Set the factor '(-8 + -1x)' equal to zero and attempt to </span>solve<span>: Simplifying -8 + -1x = 0 ... box </span>will<span> make the calculator automatically</span>solve<span> for the first variable it sees.</span>
3 0
4 years ago
Find n. Round to the nearest hundredth.
Setler [38]
The answer that you have chosen is correct answer choice a because 44.70 rounded to the nearest hundredth is 45
6 0
3 years ago
Other questions:
  • What is this equation as an expression?<br> One minus one divided by x.
    9·1 answer
  • What is the difference between type i error and type ii error?
    15·1 answer
  • How are the radius and diameter of a circle related?
    5·2 answers
  • Will Give BRAINLIEST!!!
    5·1 answer
  • What is the value of x in the solution to this system of equations? y + 2x = -1 y = 3x+4?<br><br>​
    15·1 answer
  • PLEASE HELP DUE TODAYY
    13·2 answers
  • 56 ounces = _______ cups<br> 8 cups<br> 448 cups<br> 10 cups<br> 7 cups
    14·2 answers
  • How many solutions does 4x + 5 = 6(x + 3) - 20 - 2x have? Show your work. SOLUTION ​
    14·1 answer
  • If 3/4 lb. of candy costs $12.00, how much would each lb. of candy cost?
    9·2 answers
  • The performance of a cyclist in a race is affected by whether it rains or not that day. The probability the cyclist crashes is 5
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!