Ask Experts Questions for FREE Help !
Ask
    helpless06's Avatar
    helpless06 Posts: 12, Reputation: 1
    New Member
     
    #1

    Nov 7, 2007, 07:23 AM
    Solving trigonometric equations
    Prove:
    sin^3 X+cos^4 X=1

    Here is what I have done so far:
    Prrof:
    sin^3x+cos^4x=1
    sin^3x=1-cos^4x
    sin^3x=(1-cos^2x)(1+cos^2x)
    sin^3x=sin^2x(1+cos^2x)
    sin^3x-[sin^2x(1+cos^2x)]=0
    sin^2x[sinx-1(1+cos^2x)]=0

    I do not know where to go from here or if I am on the right track... help.
    terryg752's Avatar
    terryg752 Posts: 197, Reputation: 4
    Junior Member
     
    #2

    Nov 7, 2007, 10:49 AM
    Are you sure that the question is:

    Prove:
    sin^3 X+cos^4 X=1?

    It is clear to me that you have read the question incorrectly.

    May be the question is:

    SOLVE: sin^3 X+cos^4 X=1

    The above equation is not correct for all values of X.

    The only way above equation can be true is if

    Sin x = 1 or sin x = 0

    Which is possible, e.g. if x = pi/2 or x = 0

Not your question? Ask your question View similar questions

 

Question Tools Search this Question
Search this Question:

Advanced Search

Add your answer here.


Check out some similar questions!

Equations Solving [ 1 Answers ]

If a+b+c = 1700 and a+2c = 1650 what are the values of a, b and c

Imaginary zeros, trigonometric functions, polor equations [ 1 Answers ]

simply this expression csc (theta)- cos (theta) cot (theta) find two real and imaginary zeros for this function: f(x)= x^4+x^3-2x^2+4x-24 convert these polar equations to rectangular form: r=3csc (theta) r=6sin (theta)

Solving Quadratic Equations to Graph [ 3 Answers ]

How would I graph x^2-3x=4 to solve it? And I would I check? Thank You.

Solving Equations Algebraically? [ 15 Answers ]

Can somebody please explain to me how to solve this algebraically to find the x-intercepts? x squared - 5x = -6 Sorry, I forgot it. XP

Breakdown of solving these Algebra equations [ 1 Answers ]

maybe this isn't the right site to go to, but I am in such desperate need of help solving some Algebra equations: S=L + 2B; B also: finding for y 2y + 4x = 8 Thanks


View more questions Search