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Okay, got another one; Find the first derivative of y = cos-1(sin x) in the domain -pi ≤ x ≤ pi. The answer, according to the textbook, is -1 for -pi/2 < x < pi/2, 1 for -pi ≤ x < -pi/2 or pi/2 < x ≤ pi.

Ah, now I see my mistake. Thanks.

Thanks, now it's time for another; Find the derivative of tan-1(1/x). Again, should be simple.

Thanks, but as always, I've got another question; Find the derivative of 1/(tan-1x). Should be pretty simple, but I'm not sure how to approach it.

Time for another question; a) Write sin 2Θ in terms of Θ. b) Hence find the exact value of sin [2cos-1(3/5)]. The first part is easy; the answer is of course 2 sin Θ cosΘ. It's the second part that's giving me problems.

Ah, that clears that up. Thanks very much.

I'm having some trouble with a few inverse trigonometry questions. Hopefully someone here can explain the process to me so I can figure out future questions for myself. Currently I'm stuck on; Find the exact value of sin[tan-1(3/7)] It can't simply be evaluated using a calculator since the...

Our extension english class has been given an oral assesment task which requires us to discuss two crime fiction pieces (one perscribed and one additional) that both perpetuate and subvert the generic conventions of crime fiction. Obviously, the best (and easiest) choice from the perscribed...

Thanks again.

Ah, I see what my problem was. I was assuming sin²x.cos²x = 1/2sin²2x, not sin²x.cos²x = 1/4sin²2x. Thank ye kindly good sir. EDIT: Ack! I'm so close to getting the answer, but by my working I end up with (pi - 4)/64 where it...

I skipped the last question, but now I have a new problem; Show that sinx cosx = 1/2 sin2x, and hence or otherwise find the exact value of 0∫pi/8 sin2x cos2x. The first half of this question is easy, it's the second half that's giving me probelms. Could someone please show me their working?

Hmm.. My calculations for this question seem to end up coming out all wrong. Could someone please show me theirs so I can see what I'm doing incorrectly? The question is; Use the trapezoidal rule with 4 subintervals to find, correct to 3 decimal places, an approximation to the volume of the...

Thanks guys, I forgot about the special limit.

Okay, that makes sense. For some reason, I was convinced that was a special circumstance where the fraction was flipped.*sigh* I'm really bad at this topic. I need to do some serious revision. While I'm here can anyone help me out with this question? It's; Find the limit (as x approaches 0)...

Yeah... That's what I thought. But don't you flip the fraction when finding the derivative? Or am I getting confused?

One of the questions from my textbook has an answer that I'm not entirely sure about. The question is; Find the derivative of tan xo. The textbook answer is pi/180 sec2 xo, but shouldn't the answer be 180/pi sec2 xo?

Ah... I just wasn't sure what to do with (x√(x²-1))². Thanks.

Another; Find the volume of the solid formed if the curve y = x√(x2 - 1) is rotated about the x-axis between x = 1 and x = 2. The first part of this question required me to figure out the area enclosed between the curve and the x-axis, between the same x values. The result was √3. Is there a...

Ugh... I'll just move on to the next question. Unfortunately, I seem to be stuck on that one too... Find the derivative of x√(x + 3) It should be simple, but my answer is missing an x where (according to the answer) there should be one. Can anyone help? EDIT: Never mind, got it. Was making...

I've lost my original answer now, since I whited it out and started again (several times...). I think it was something like 254pi/6. I could really use some help with this...