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
Nikolay [14]
3 years ago
8

Plz prove this for me.....

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

I've answered your other question as well.

Step-by-step explanation:

Since the identity is true whether the angle x is measured in degrees, radians, gradians (indeed, anything else you care to concoct), I’ll omit the ‘degrees’ sign.

Using the binomial theorem, (a+b)3=a3+3a2b+3ab2+b3

⇒a3+b3=(a+b)3−3a2b−3ab2=(a+b)3−3(a+b)ab

Substituting a=sin2(x) and b=cos2(x), we have:

sin6(x)+cos6(x)=(sin2(x)+cos2(x))3−3(sin2(x)+cos2(x))sin2(x)cos2(x)

Using the trigonometric identity cos2(x)+sin2(x)=1, your expression simplifies to:

sin6(x)+cos6(x)=1−3sin2(x)cos2(x)

From the double angle formula for the sine function, sin(2x)=2sin(x)cos(x)⇒sin(x)cos(x)=0.5sin(2x)

Meaning the expression can be rewritten as:

sin6(x)+cos6(x)=1−0.75sin2(2x)=1−34sin2(2x)

You might be interested in
Find the percent of change. 20 increased to 40
ladessa [460]

Answer:

100% increase

Step-by-step explanation:

Calculate percentage change

from V1 = 20 to V2 = 40

(V2−V1)|V1|×100

=(40−20)|20|×100

=2020×100

=1×100

=100%change

=100%increase

6 0
3 years ago
X-y=1 <br> PLEASE HELP IM ON A TIME LIMIT
jekas [21]

Answer:

x = 3

y = 2

Step-by-step explanation:

8 0
3 years ago
Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2 1 ​ 3, start fraction, 1, divided by, 2, end fraction liters of tea
barxatty [35]

Answer:

Restating the question clearly:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?

Answer:

He drinks  5\frac{1}{4}\ liters\  in 1 hour

Step-by-step explanation:

Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\  1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters

5 0
3 years ago
Find an expression in simplest form for the verbal description. The total pay for 12 hours of work at a base rate of P per hour
Jobisdone [24]
Base:
12 \times p = 12p  \\
Bonus:
12 \times 1.50
Total:
12 \times (p + 1.50)
6 0
2 years ago
Which of the following is the same as 58%?​
Alecsey [184]

Answer:

58%=0.58

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • For every 144 light bulbs produced, 6 are defective. Find the number of defective light bulbs that could be expected out of 720.
    14·2 answers
  • Lillian bought 2.52 pounds of tomatoes and 1.26 pounds of lettuce to make a salad for 18 people. If each person got the same amo
    15·2 answers
  • What are the possible values of x in -11x2 + 2x = 10?
    14·1 answer
  • Complete the square to rewrite y = x2 + 4x + 5 in vertex form. Then state whether the vertex is a maximum or a minimum and give
    10·1 answer
  • Expand and simplify 5(3m-2)+3(m+4)
    7·2 answers
  • Given the triangle below, tell me if it's a right triangle or not. Then, explain your answer with evidence.
    6·1 answer
  • Is it equilateral or equiangular or regular?
    5·1 answer
  • How is the slope related to a unit rate?
    7·2 answers
  • Please see attached. Need help. Thanks
    13·1 answer
  • 1. Write a formula for the price p of a gallon of gas in !
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!