Question

If sin¢=4/5 find the value of 4tan¢-5cos¢/sec¢+4cot¢

Answer 1

Assuming ¢ is acute angle,
sin¢ = 4/5 then,
By making triangle and doing manipulation,
You better make triangle as your Homework
tan¢ = 4/3
cos ¢ = 3/5
sec¢ = 5/3
cot¢ = 3/4

Now,
(4*4/3 -5*3/5 )/(5/3+4*3/4) =( 16/3 -3)/(5/3 +3) =1/2

Answer 2

hope it helpful to u.