Question

if sec theta = 7 evaluate cosec theta tan theta + sin theta cosec theta + sin theta sec theta tan theta

Answer 1

Answer:

sec th =1/cos th

cos th = 1/7

h sq= p sq +b sq

7^2-1^2= p^2

p= √48= 4√3

sin th =p/h=4√3/7

tan th=p/b= 4√3

cosec th=h/p= 7/4√3

(7/4√3×4√3)+(4√3/7×7/4√3)+(4√3/7×7×4√3)

=7+1+48

=56