Answer:
Ф = [tex]\frac{\pi }{4} ,\frac{5\pi}{4}[/tex]
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) + 1
- Then we can combine like terms
- Then we can factor this as a polynomial function
- Then we can set each term equal to zero and solve for Ф
- The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
- The second term tan(Ф) - 1 = 0 has two solutions of [tex]\frac{\pi}{4}[/tex] and [tex]\frac{5\pi}{4}[/tex] so these are the solutions to the problem
