Question

If theta = pi/4 , Beta = pi/2 , sec (theta- beta) =

a) - csc pi/4
b) sec pi/4
c) csc pi/4
d) - sec pi/4

Answer 1

I would calculate first, the difference,
theta-beta=pi/4-pi/2=-pi/4

Then I would use that
cos (-a)=cos (a)

And

sec(a)=1/cos(a)

Answer 2

I think you can follow from this point.

Answer 3

I m sorry, I dont understand this part: pi/4 - pi/2 = -pi/4

Answer 4

theta=pi/4
beta=pi/2
theta-beta=pi/4-pi/2=pi*(1/4-1/2)=pi*(1/4-2/4)=pi*(-1/4)=-pi/4

Hope it helps.

Answer 5

Thank you

Answer 6

I think it will be answer b