6-46-4
inverse trigonometric functions
By: Meghan K.
functions and their inverses
|
y = sin x |
x = sin-1 y |
|
y = cos x |
x = cos-1 y |
|
y = tan x |
x = tan-1 y |
You are in a field shooting rockets into the air . When you shoot the rocket off its angle has a degree of 45o. Find the values for X & Y and then find the inverse.
Step 1: Look at the unit circle and find the values of X & Y at 45o.
The value for X is sq.rt. 2/2
The value for Y is sq.rt. 2/2
To find the inverse of the function you switch the X & the Y.
In this case the equation is Y = cos5X
X = cos5Y
X/5 = cos Y
Y = cos-1X/5
That's the inverse of the equation.
“The future belongs to those who believe in the beauty of their dreams.”
- Eleanor Roosevelt
*This quote means that if you follow your dreams then you will have control over your future and what you do with it.
For further help on the inverse of trigonometric equations go to this website-  home.attbi.com/~fellmantrig/Lect050Oct23.pdf |