Write sec in terms of sin. Theta is in the third Quadrant.

Answer 1

You mean secØ and sinØ, the words sec and sin by themselves are just mathematical operators like
+, - , √, etc, they can't just stand alone.

anyway.....
secØ = 1/cosØ
but cosØ = ±√(1-sin^2 Ø)
since you state the angle to be in III

secØ = -1/√(1 - sin^2 Ø)

Answer 2

Thank you. I know that sec and sin cannot stand alone, I just don't know how to type the symbol for theta. Could you help me with a similar problem? It involves expressing tan(t) in terms of cos(t), where t is in the third quadrant.