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
A<br> Find the value of x. Your answer must be exact.<br> 30<br> 9
OLEGan [10]
Tan30=9/x so it will be 9((3)^1/2)
4 0
3 years ago
Read 2 more answers
How do you solve?3(t+4)-2(2t+3)=-4
shepuryov [24]
3t+12-4t-6=-4
-t=-4+6-12
-t=-10
t=10
That's your answer.
8 0
3 years ago
Read 2 more answers
Flock of birds is flying south, toward the equator, at an hourly rate. A scientist created the function f(x)=−60x+1320 to repres
lina2011 [118]

Answer: First and last option

The birds began 1320 miles from the equator.

The birds are flying toward the equator at a rate of 60 mph.

Step-by-step explanation:

Note that the function f(x) is a linear function.

f (x) = - 60x + 1320

If x represents the number of hours and f(x) represents the distance from the equator, then x = 0 means that the first hour has not yet elapsed.

When x = 0 then:

f (0) = -60 * 0 +1320\\f (0) = 1320.

This means that the initial distance at which the birds of the equator are located is 1320 miles.

Then when x = 1 then:

f (x) = -60 * 1 + 1320\\f (x) = -60 +1320

When x = 2 then:

f (x) = -60 * 2 + 1320\\f (x) = -120 +1320

As x increases by one unit then the distance of the birds to the equator decreases by 60 miles. This means that birds travel at a speed of 60 miles per hour

4 0
3 years ago
Read 2 more answers
What is the value of x in the equation x + 10 = 13?<br> O-3<br> 03<br> 0 13<br> O 23
gayaneshka [121]

Answer:

3

Step-by-step explanation:

x+10=13

x+10-10=13-10

Simplfiy

x=3

3 0
2 years ago
Read 2 more answers
What percent of 50 is 15? A. 0.3% B. 7.5% C. 30% D. 35%
Harrizon [31]

Answer

Step-by-step explanation

6 0
3 years ago
Read 2 more answers
Other questions:
  • Explain how to use the combine place values strategy to find 223-119
    15·1 answer
  • Given a right triangle with a hypotenuse of 15 feet and a height of 6 feet, find the measurement of angle
    15·1 answer
  • The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate
    12·1 answer
  • Look at the Schoology problem provided below.
    10·2 answers
  • Which equation can be solved using the expression
    13·1 answer
  • Se extraen dos canicas de un paquete, que tiene dos canicas rojas, dos canicas negras y una canica blanca. ¿Cuáles son los posib
    8·1 answer
  • Help me please, please
    9·1 answer
  • Please explain how you got the answer. Don’t just tell me the answer
    6·1 answer
  • TRANSLATING A FIGURE The vertices of a triangle are A(-2,-2),
    13·1 answer
  • The length (L) of a rectangle of fixed area varies inversely as the width (W).
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!