I have two questions below.
Establish each identity.
(1) cos(x)/[1 - tan(x)] + sin(x)/[1 - cot(x)] = sin(x) + cos(x)
This is my set up for question 1:
Let tan(x) = sin(x)/cos(x)
Let cot(x) = cos(x)/sin(x)
After plugging and simplifying the complex fractions, I get this on the left side:
cos^2 (x)/[cos(x) - sin(x)] + sin^2 (x)/[sin(x) - cos(x)]
Where do I go from there?
Question 2:
3 sin^2 (x) + 4 cos^2 (x) = 3 + cos^2 (x)
I know that sin^2 (x) = 1 - cos^2 (x)
This is my set up:
3[1 - cos^2 (x)] + 4 cos^2 (x) = 3 + cos^2 (x)
I then use the distributive rule on the left side and get this:
3 - 3cos^2 (x) + 4 cos^2 (x) = 3 + cos^2 (x)
Where do I go from there?
Thanks