Answer:
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) + 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
and
so these are the solutions to the problem
7/8 = x/48
Cross multiply, which is: a/b = c/d ⇒ ad = bc
After cross multiplying, we get:
8x = 7(48)
8x = 336
Divide 8 on both sides
x = 42
Your final answer is B. 42<span>.</span>