Posted by Tara on Monday, January 4, 2010 at 8:58pm.
Use the fundamental identities to simplify the expression:
cot beta sec beta
I used 1+tan^2u=secu since cot is the inverse of tan. I flipped the tangent, then so it was 1+ (1/tan). But the book's answer is the cosecant of beta. Where did this come from??

Trig  MathMate, Monday, January 4, 2010 at 9:03pm
Fundamental identities include:
cot(β)=cos(β)/sin(β)
sec(β)=1/cos(β), and
csc(β)=1/sin(β)
I will let you take it from here. 
Trig  Tara, Monday, January 4, 2010 at 9:10pm
Is the right answer 1/sinB?

Trig  MathMate, Tuesday, January 5, 2010 at 12:02am
That's correct, although 1/sin(β) is generally written as csc(β), as your answer indicates.