How do you simplify bracket 1 plus tan theta bracket bracket 5 sin theta -2 bracket equals 0?

Answer 1

(in a past paper it asks u to solve this for -180</=theta<180, so I have solved it)

Tan theta =-1, so theta = -45.

Use CAST diagram to find other values of theta for -180</=theta<180:

Theta (in terms of tan) = -ve, other value is in either S or C. But because of boundaries value can only be in S.

So other value= 180-45=135.

Do the same for sin.

Sin theta=2/5 so theta=23.6

CAST diagram, other value in S because theta (in terms of sin)=+ve.

So other value=180-23.6=156.4.