solving Natural Logs for x and a Trig identity question.
That is what im having trouble sorting out. I know its something to do with the quadratic formula but its just not clicking in my head.
2Ln2 - Ln(x-1) = ln(2x)
also, i cant seem to finish this off:
This is what i have so far:
Prove that (1/cot^2 θ) - (1/csc^2 θ) = (sin^4 θ)/(cos^2 θ)
i am stuck there... unless of course the actually DO add together to make
-> (1/(1/tan^2 θ)) - (1/(1/sin^2 θ))
-> 1/(tan^2 θ - sin^2 θ)
-> (1/((cos^2 θ)/(sin^2 θ))) - (1/sin^2 θ)
-> ((sin^2 θ)/(cos^2 θ)) + ((sin^2 θ)/ 1)
Any help would be greatly appreciated!
(sin^4 θ)/(cos^2 θ)