Solve sec2theta + tantheta - 3 =0 for 0

Ф =

Step-by-step explanation:

It is a bit difficult to input the work here, so I uploaded an image

First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1Then we can combine like termsThen we can factor this as a polynomial functionThen we can set each term equal to zero and solve for ФThe first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhereThe second term tan(Ф) - 1 = 0 has two solutions of and so these are the solutions to the problem