User Name Remember Me? Password

 Calculus Calculus Math Forum

 September 30th, 2018, 03:31 AM #1 Senior Member   Joined: Oct 2015 From: Greece Posts: 137 Thanks: 8 Euler Angles Help! Take a look at this: I can't understand why: $\displaystyle x = \cos(x)$ $\displaystyle y = \sin(y)$ If I try to solve this, I end up with this: $\displaystyle \cos(θ) = \frac{x}{h} <=> x = h \cdot \cos(θ) <=> x = \cos(θ)$ $\displaystyle \sin(θ) = \frac{y}{h} <=> y = h \cdot sin(θ) <=> y = \sin(θ)$ Why is he replacing θ with x and y? He says something about: $\displaystyle x = \cos(\frac{x}{h})$ and $\displaystyle y = \sin(\frac{y}{h})$ which I don't understand, probably I'm missing something from trigonometry. We want to find the length on the x and y directions so why do we use the lengths to find the lengths? It does not make sense. Can someone help me understand it? Thank you. Last edited by skipjack; September 30th, 2018 at 07:11 AM. September 30th, 2018, 06:35 AM #2 Senior Member   Joined: Oct 2015 From: Greece Posts: 137 Thanks: 8 Well, probably it was a typo... September 30th, 2018, 07:26 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,927 Thanks: 2205 It was apparently put together in a hurry by someone who didn't even realize that "adjacant" should be "adjacent". Thanks from babaliaris and ProofOfALifetime October 1st, 2018, 05:38 AM #4 Senior Member   Joined: Oct 2015 From: Greece Posts: 137 Thanks: 8 Ok. I have one more question. He says that the final unit vector which describes the direction can be constructed as followed: $\displaystyle x = \cos(pitch) * \cos(yaw)$ $\displaystyle y = \sin(pitch)$ $\displaystyle z = \cos(pitch) * \sin(yaw)$ The above numbers construct the rotating vector for up and down on y and left and right on the xz plane (without rolling around the z axis). Also notice that y is up and down, x left right, and z is depth with the positive values coming towards you (I think it's called the right handed system). I understand the trigonometry on how to find the x, y, z for pitch and yaw, but I can't understand why you connect them by multiplication. For example from trigonometry you can see that the x value depends on the cosine of pitch and cosine of yaw, but how do you find out that you need to multiply those two values and not add them for example? I can't see that. Last edited by skipjack; October 1st, 2018 at 07:20 AM. Tags angles, euler Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post MMath Elementary Math 11 May 27th, 2016 12:01 AM FalkirkMathFan Real Analysis 0 November 4th, 2011 04:08 AM FalkirkMathFan Calculus 0 November 3rd, 2011 04:52 PM jrobinson3k1 Algebra 0 April 7th, 2009 06:37 AM princebilly Algebra 0 March 31st, 2009 03:45 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2019 My Math Forum. All rights reserved.      