Trigonometry

posted by .

Prove that sin^2(Omega) - Cos^2(Omega) / tan(Omega) sin(Omega) + cos(Omega) tan(Omega) = cos(Omega) - cot (Omega) cos (omega)

  • Trigonometry -

    I substituted any angle in the equation the way you typed it, and the equation was false.
    I then tried it as

    (sin^2 Ø - cos^2 Ø)/(tanØsinØ + cosØtanØ)

    using Ø instead of omega for easier typing.

    and got
    LS = (sinØ+cosØ)(sinØ-cosØ)/(tanØ(sinØ+cosØ)
    = (sinØ - cosØ)/(sinØ/cosØ)
    = cosØ(sinØ - cosØ)/sinØ
    = cosØsinØ/sinØ - cos^2 Ø/sinØ
    = cosØ - (cosØ/sinØ)cos‚
    = cosØ - cotØcosØ
    = RS

  • Trigonometry -

    What does LS and RS stand for?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Forced Oscillation - drwls => I need your help =)

    A 2.00kg object attatched to a spring moves without friction and is driven by an external force given by F= (3.00N)sin(2pi*t) The force constant of the spring is 20N/m. Determine a) period b) amplitude of motion a)T= 2pi/omega T= 2pi/ …
  2. Physics

    To find the velocity and acceleration vectors for uniform circular motion and to recognize that this acceleration is the centripetal acceleration. Suppose that a particle's position is given by the following expression: r(t) = Rcos(omega*t)i …
  3. college Physics

    The coordinates of an object moving in the xy plane vary with time according to the following equations x = −7.16 sin ùt and y = 4.00 − 7.16 cos ùt, where ù is a constant, x and y are in meters, and t is in seconds. …
  4. Trigonometry

    Prove that sin^2(Omega) - Cos^2(Omega) / tan(Omega) sin(Omega) + cos(Omega) tan(Omega) = cos(Omega) - cot (Omega) cos (omega) If could explain, please. That would be great (:
  5. Trigonometry

    Prove that sin^2(Omega) - Cos^2(Omega) / tan(Omega) sin(Omega) + cos(Omega) tan(Omega) = cos(Omega) - cot (Omega) cos (omega)
  6. Trigonometry

    Prove that sin^2(Omega) - Cos^2(Omega) / tan(Omega) sin(Omega) + cos(Omega) tan(Omega) = cos(Omega) - cot (Omega) cos (omega)
  7. PreCalc

    If tan theta = 9/5 and cot omega = 9/5 Find the exact value of sin (omega-theta)
  8. science

    An object moves up and down the y-axis with an acceleration given as a function of time t by the expression a equals A sine of omega-t. , whereA. and omega. are constants. What is the period of this motion?
  9. physics

    A heavy table of mass M is vibrationally isolated by being hung from the ceiling by springs, so that its frequency of vertical oscillation is \omega_0 (take \omega_0 to be 2\pi/sec, a typical value). Assume now that the ceiling vibrates …
  10. precalculus, complex numbers

    Let $\omega$ be a complex number such that $\omega^7 = 1$ and $\omega \neq 1$. Let $\alpha = \omega + \omega^2 + \omega^4$ and $\beta = \omega^3 + \omega^5 + \omega^6$. Then $\alpha$ and $\beta$ are roots of the quadratic \[x^2 + px …

More Similar Questions