Some coaching on this would be nice.
All I'm working with is a formula sheet with some identities in it.
Any help at all would be greatly appreciated.
Simplify the expression.
cos(2tan-1(x))
Note that the trig expression takes on the form , where
Recall that
Now let us set up a triangle that represents the angle .
We see that the opposite leg has a value of x, and the adjacent has a value of 1. Thus, the value of the hypotenuse can be found after applying the Pythagorean formula:
Now, let us evaluate the expression:
can be determined from the triangle we constructed.
Thus,
Substitute this into the equation and simplify:
I'll leave the rest for you to do.
I hope this makes sense!
--Chris
It doesn't change much:
Keep this bit:
But just evaluateNow let us set up a triangle that represents the angle .
We see that the opposite leg has a value of x, and the adjacent has a value of 1. Thus, the value of the hypotenuse can be found after applying the Pythagorean formula:
It should be obvious if you constructed the triangle properly
--Chris