Question

find all solutions of the equation tan3x+1=sec3x in the interval [0,2pi).

Answer 1

is that \(\tan^3x\) or \(\tan3x\)?

Answer 2

3x

Answer 3

so if we clean this up we have:

tan u + 1 = sec u

Answer 4

if we square both sides that might help us, but it tends to introduce a few false results to be weeded out

Answer 5

tan^2 + 1 + 2tan = sec^2 , but sec^2 = tan^2 + 1

tan^2 + 1 + 2tan = tan^2 + 1

2tan = 0 might be worth looking into

Answer 6

well, thats one of them :)

Answer 7

hmm, might be the only one too