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
Ivenika [448]
3 years ago
7

Sin^4a+cos^4a -sin^6a+cos^6a= sin^2a cos^2a

Mathematics
1 answer:
dsp733 years ago
7 0

Answer:

steps below

Step-by-step explanation:

sin⁴a+cos⁴a = (sin²a+cos²a)² - 2 sin²a cos²a

                   = 1 - 2 sin²a cos²a

sin⁶a-cos⁶a = (sin²a+cos²a)³ - 3 sin²a cos²a (sin²a + cos²a)

                   = 1³ - 3 sin²a cos²a * 1

                   = 1 - 3 sin²a cos²a

sin⁴a+cos⁴a-sin⁶a+cos⁶a = (1 - 2 sin²a cos²a) -(1 - 3 sin²a cos²a)

                                        = sin²a cos²a

You might be interested in
What does x equal -4 = x - 93/-1
Semmy [17]

Answer:

x= -97

Step-by-step explanation:

I hope this help!!!

8 0
3 years ago
Jane sells 8 times as many Volvos as Melissa. If the difference in their sales is 35, how many cars did Jane sell?
Usimov [2.4K]
Here we have 2 variables we need to calculate:
x - how many Volvos Jane sold
y - how many Volvos Melissa sold

We write system of equations:
x = 8*y
x - y = 35
------------
8y - y = 35
7y = 35
y = 5
x = 8*5 = 40

Jane sold 40 cars.
8 0
3 years ago
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
nevsk [136]

According to the given table, the slope-intercept equation of the line is given by:

y = -2x + 1

The equation of a line, in <em>slope-intercept</em> form, is given by:

y = mx + b

In which:

  • The slope is m.
  • The intercept is b.

In this problem, we are given two points, (3,-5) and (-2,5).

  • The slope is given by <u>change in y divided by change in x</u>, hence:

m = \frac{5 - (-5)}{-2 - 3} = -2

Hence:

y = -2x + b

Point (3,-5) means that when x = 3, y = -5, which is used to find b.

y = -2x + b

-5 = -2(3) + b

b = 1

Hence, the equation of the line is:

y = -2x + 1

A similar problem is given at brainly.com/question/24685547

6 0
2 years ago
Can anybody help me with this ?
frutty [35]

f(x) = (3/4)ˣ - 4

As x gets really negative (3/4)ˣ grows positively without bound (because it's (4/3)⁻ˣ and 4/3 > 1).

As x gets really positive (3/4)ˣ tends to zero but never quite gets there.

So (3/4)ˣ > 0 for all x

So f(x) > 0 - 4 for all x

Answer:  { y   | y > -4  }, first choice

7 0
3 years ago
At an electronics store, a $165 television is marked up 110%. Dave purchases the TV and must pay 6.5% sales tax. What is his fin
Mariana [72]
Firstly, we need to know the price of the TV after the 110$ increase.
     $165 x 1.10 = $181.50
[This is an increase of $16.50]
[1.10 is the equivalent of 110%. 1 being 100% and the .10 being 10%]

Now for the sales tax. We apply a similar method.
     $181.50 x 0.065 = $11.79
     6.5% of $181.50 is $11.79, so we add the two together to find the final cost.

The final cost of the TV is $193.29
4 0
4 years ago
Other questions:
  • Malcolm is driving 1,373 miles from Wichita to Charleston for a family Reunion. He drives 468 miles the first day and 434 miles
    6·1 answer
  • Solve for x. <br><br> −1/3x≤−6
    12·1 answer
  • The number sentence 4*6=6*4 is an example of what property
    5·2 answers
  • NEED HELP AGAIN ASAP! MATH PEOPLE ONLY. WILL GIVE BRAINLIEST, TON OF POINTS ONLY FOR THE RIGHT ANSWER.
    8·1 answer
  • HELP!
    14·1 answer
  • What’a the range and mode of 1,1,3,1,4,4,2,1
    5·2 answers
  • The graph shows the relationship between the total cost,
    8·1 answer
  • What would -32 - 24 become if you rewrote the problem to adding the opposite?
    10·2 answers
  • Select the correct answer from each drop-down menu. Consider this equation. 1/x + 2/x+10 =1/3 Complete the statements to make th
    12·1 answer
  • HELLPP
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!