suppose that is an acute angle of a right triangle and that

suppose that is an acute angle of a right triangle and that sec(9)= 2 . Find csc(9) and tan(, 5 v21 2 V2T a) csc()2 2 c) Ocsc(9)- tan()= 2 21 V21 d)Ocsc(9)= tan()= . 5 v21 21 f) O None of the above.

Solution

sec theta=5/2

tan theta=sqrt(sec²theta-1)= sqrt(25/4 -1)= sqrt(21)/2

cos theta=1/sec theta=2/5

sin theta=sqrt(1-cos²theta)= sqrt(1-4/25)=sqrt21/5

csc theta=1/sin theta=5/sqrt21

option a