Hello, 1) I'm confused on what are exactly all the trig identities. My professor is very unclear. What are the trig identities used for? Is is just something I need memorize?
2) Can someone help me prove this:
sin(x)/(1+cos(x)) + (1+cos(x))/sin(x) = 2csc(x)
Any help would be appreciated. Thank you.
Here's a simplified step-by-step solution:
Multiply by sin(x)
sin(x)^2/(1+cos(x)) + (1+cos(x))= 2
Use sin(x)^2=1-cos(x)^2={1+cos(x)) (1-cos(x))
Thus 1-cos(x) +1+cos(x) = 2
QED
Thank you so much. I understand it now. I needed to know it for my midterm today.