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Thread: Appreciated help.

  1. #1
    Newbie Silvahere's Avatar
    Nov 2009

    Appreciated help.

    There are a few questions that my teacher did not make clear when explaining our lesson. Can you guys explain?

    1. How could these be simplified?
    a. 1+tan² theta / 1+cot theta

    I already know that it simplifies to:
    sec² theta / csc² theta
    What else could be done?

    No idea about the rest...

    b. sect+csct / 1+tant

    c. sin(x+y)cosy - cos(x+y)siny

    d. 2sin2asin2a

    e. Square root of: 1+cos2beta / 2 (end square root)
    Restrictions: -pi/2 < beta < pi/2

    f. Dear god this is a hard one.
    tan7pi/6 - tanpi/3 all over 1 + tan7pi/6 tanpi / 3

    I promise, you guys aren't doing my homework. :P I just have a bad teacher.

    2. Solve the trig functions within [0, 2pi)
    a. cos3x + cosx = 0

    b. cot²x + cos²x = cot²xcos²x

    3. Stupid proofs... Prove the identities. T__T'
    a. cscx/cscx-1 + cscx/cscx+1 = 2sec²x

    b. sinasinbeta(cotacotbeta-1) = cos(a+beta)

    c. cos^4y - sin^4y = cos2y

    d. tan(pi/4 + p)

    4. Find the values (w/out calculator)
    a. cos[cos^-1(-1/2) + sin^-1 1]

    b. tan[cos^-1 (-1)-cos^-1 1]

    5. :/ Find exact values of sin2u and cos u/2.

    a. cscu = 2
    Restriction: pi/2 < u < pi

    b. tanu = -8/5
    Restriction: 3pi/2 < u < 2pi

    I'm soo sorry. I feel like I'm asking way too much. x___x'
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  2. #2
    Flow Master
    mr fantastic's Avatar
    Dec 2007
    Please don't post more than two questions in a thread. Otherwise the thread can get convoluted and difficult to follow. Start new threads as necessary for remaining questions. eg. If you have five questions, post three of them in one thread and start a new thread for the remaining two etc.

    And if the question has more than two parts to it, it is best to post only that question and its parts in the thread and start a new thread for other questions.

    Please re-post your questions using the above guidelines.

    Thread closed.
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