Question

given sec theta=3 . use trigonometric identities to find the exact value of : csc (90degrees-theta)

Answer 1

sec = 3/1 = 1/cos

cos = 1/3; c^2+s^2 = 1

sin = sqrt(1-1/9) = 2sqrt(2)/3

sin = 1/csc = 2sqrt(2)/3

csc = 3/2sqrt(2)

the rest might be an application of the sin(a+b) stuff

Answer 2

or, sin 90 = pi/2

csc (pi/2 - 3/2sqrt(2)) but that loks like a pain to me

Answer 3

hmm, we want theta itself tho

Answer 4

theta = arccos(1/3) ewww