Post a New Question

Precalculus

posted by .

I've tried many times to get the equation to balance using trig identities like half-angle formulas, power-reducing formulas, and double angle formulas, but I couldn't get the equation to equal out. I only need to work one side to make it equal to the other, like a kind of proof. Please help!

1 - 4sin^2(x)cos^2(x) = cos^2(2x)

  • Precalculus -

    Can you check your book to see if the given expression is "supposed" to be an identity, or is it a question to solve for x?

    The left hand side:
    4sin²(x)cos²(x)
    =(2sin(x)cos(x))²
    =sin²(2x)

    Which is not an identity with the right hand side.

    If it is an equation, try to solve for x. It would be an excellent exercise.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Trigonometry

    There is an arbitrary triangle with angles A, B, and C and sides of lengths a, b, and c. Angle A is opposite side a. How do I get the formulas: b * cos C + c * cos B = a c * cos A + a * cos C = b a * cos B + b * cos A = c Are these …
  2. Physics

    A track star in the long jump goes into the jump at 12 m/s and launches herself at 20 degrees above the horizontal. How long is she in the air before returning to Earth?
  3. math

    sin2x-cotx = -cotxcos2x Using the various trigonometric identities(i.e. double angle formulas, power reducing formulas, half angle formulas, quotient identities, etc.) verify the identity. I first added cotx to both sides to get sin2x …
  4. MATH

    1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL STEPS) sin 2x - sin x = 0 2.) GIVEN: sin u = 3/5, 0 < u < ï/2 Find the exact values of: sin 2u, cos 2u and tan 2u using the double-angle formulas. 3.)Use …
  5. trig

    Solving Trig Functions: How Do You Solve For Sin 7.5 Using Half-Angle and Double-Angle Identities?
  6. Math

    I am stuck on a problem that has to do with the double angle formulas. I have to solve this: 4sinxcosx = 1. I tried using the formula 2sinu = 2sinucosu by substituting it in like this: 2(2sinxcosx)= 1 but then I am stuck
  7. Math

    1. Power reducing formulas can be used to rewrite 8sin^2 xcos^2 x as 1-cos4x. True or False?
  8. Trig/Precalc

    So I have two questions that have been puzzling me for quite some time and would really appreciate any help with either of them! (a) There are four positive intergers a, b, c, and d such that 4cos(x)cos(2x)cos(4x)=cos(ax)+cos(bx)+cos(cx)+cos(dx) …
  9. computer applications

    John wants to see the formulas he has used in his spreadsheet but he does not want to see the results of the formulas. How does he display his formulas?
  10. Intro to computers

    You are an inexperienced Excel user and don’t know how to create your own formulas. You want to use one of the preconfigured formulas but it doesn’t appear in the Formulas tab ribbon. What can you do?

More Similar Questions

Post a New Question