Question

What is tan theta+sec theta=1?

Answer 1

are you looking for what theta is?

Answer 2

no its sys solve the eqution on the interval 0<theta(sign)<2pie

Answer 3

*says

Answer 4

yea you need the values of theta that will give you 1

Answer 5

the choices are 0, 5pie/4,pie/4 and no solution

Answer 6

First, "pie" is for eating. "pi" is for math.

\(\tan(\theta) + \sec(\theta) = 1\)

\(\dfrac{\sin(\theta)}{\cos(\theta)} + \dfrac{1}{\cos(\theta)} = 1\)

Notice that \(\cos(\theta) = 0\) is NOT acceptable, no matter what else we do.

\(\dfrac{\sin(\theta)+1}{\cos(\theta)} = 1\)

\(\sin(\theta) + 1 = \cos(\theta)\)

\(\sin(\theta) - \cos(\theta) + 1 = 0\)

There are a couple of ways to go from here. What do you suggest? Please show your work.