just give a value to x and see if both sides are equal..
1. a. Use a calculator to determine which one of the following equations is an identity.
1/ sin x + cos x = csc x + sec x
1/ 1 - sin^2 x = 1 + tan^2x
b. Verify the identity equation.
2. Verify the following identity.
tan x-tan y = sin(x-y) / cos x cos y
Graph these in your calculator and see if the graphs are the same. If not, then the identities are false.
and .2. Verify the following identity.
tan x-tan y = sin(x-y) / cos x cos y
Thus,
Now find a common denominator. In this case, it would be
Thus,
Note that
Thus,
We have established the identity.
Does this make sense?
--Chris