Question

If 5 sin 0=4 then sec° — cosec0 =

Answer 1

Step-by-step explanation:

sin0 = 4/5

as sin 0 = p/h

p/h = 4/5

then we find b from right angle traingle

b= √25-√16

b= √9

b= 3

now we put the value in given equation

sec 0 = 1/ cos 0

= 1/b/h

= h/b

= 5/3

and, cosec 0 = 1/ sin 0

= 1/p/h

= h/p

= 5/4

now putting the value

sec 0 - cosec 0 = 5/3 - 5/4

= 5/12.