Trigonometric functions Definition and 165 Threads

Hi. Are there any addition theorems for inverse trigonometric functions? Like arccos(x+y)=? or something... I was wondering about this when I tried to find the derivative of f(x)=arccos(x) by setting f'(x)=\frac{\arccos(x+\Delta x)-\arccos(x)}{\Delta x}

Solve the following equation giving values from -\pi to \pi: cos (2v - \frac{\pi}{3}) = \cos v Here is my attempt to solve it. As the cosine of the two is the same, the angles should also be the same leaving 2v - \frac{\pi}{3} = v + 2 \pi n Then if I move the right over to the left, I get...

I'm working on a pre-freshman year math packet for college, and at one point it asks for the derivative of sinh-1(x), followed up by the derivative of ln( x + sqrt(1+x2) ). In high school, we never really covered hyperbolic trigonometry, but I have previously derived that the inverse of sinh is...

Hey guys, I have to know how to Differentiate Inverse Trigonometric Functions in my next exam and need somewhere to study up on them. Do you know of any web sites I could read? Can't find anything on Karl's Calculus. Thanks

Hi guyz, as we know we have some known relations in the trigonometric functions like sin(2x)=2sin(x)cos(x) and sin(x/2)=1/2-1/2 cos2x My question is are there similar formulas for arcsin and arccos? I know those only ! arcsin x =ln(ix-sqrt(1-x^2)) arccos x =ln(-ix-sqrt(1-x^2))...

I'm having some trouble with applying trigonometric functions to some real life situations, particularly this one problem in my homework. Andrea, a local gymnast, is doing timed bounces on a trampoline. The trampoline mat is 1 meter above ground level. When she bounces up, her feet reach a...

The problem reads: Find \sin\theta and \cos\theta Part a gives me the coordinates \left(-1,1\right) The triangle I got had the x-length as -1, while the y-length was 1. The hypotenuse I got was \sqrt{2} Since \sin is \frac{opposite}{hypotenuse} I got \sin\theta=\frac{1}{\sqrt{2}}...

Ok I can graph sin(x) , cos(x) , and tan(x) pretty easily, but I'm having a hard time graphing the csc, sec, and cot ones. For the first three I just found the values of pi/2 pi 3pi/2 and 2pi. So for example pi/2 for sin(x) would be sin 90 or sin pi/2 which is equal to 1. I then just put a...

Here are two general questions How would you find the period of: sin(2Pi*t)+sin(4Pi*t) or cos(3t)sin(2t) Thanks

What equation in the form y=sin(theta)+c best models the dtat in the chart below... ____________________________________ (theta)radians : 1 : pi/2 : pi : 3pi/2 : 2pi ______________________________________ y-------------: 2 :--3--:-2-:-1----:--2 __________________________________ I am...

Hi, wat would you get if you add these: 3cos(600*pi*t) + 5sin(1000*pi*t - 45degrees) + 5sin(1200*pi*t)? thanks in advance...

Hi, A questions regarding trigonometric (or inverse) functions. I just can't get it right. Q1: A picture 2 m high is hung on the wall with its bottom 6 m above the observer's eye level. How far should the viewer stand for the picture to subtend the largest possible vertical angle with the...

I need help with these problems: (1) STan^-1(y)dy and (2) Ssin^-1(x)dx (S=integral) I can't seem to figure out the trigonometric formula for integration. A little help or hint would be nice. Thanks!

Ok I have hit a little bumb in the road on my trigonometric function learning. Ok i need to graph the function y=3cos2(x-120degrees)-3, for x is less than or equal to 360degrees but is greater than or equal to -360degrees. Ok so i know the: verticle translation is 3 down the phase shift is...

Ok I have two questions both i have done but not 100% sure I have done them correct. I am good with math but not so well at Trigonemetric stuff. Ok here it is. 1) Convert the following angles to radian measure, leave in simpilest rational form. 350 degrees. Ok what i have done is this...