Question

If sec∅ =5/3, then find the value of tan∅ - sin∅ /1 + tan ∅ . Sin∅

Answer 1

Answer:

88/93

Explanation:

seca=h/b=5/3

h=5 b=3

then by Pythagoras theorem,

p=4

now,

4/3- 4/5/1+4/3.4/5

4/3-4/5/1+4/3*4/5

4/3-4/5/1+16/1

4/3-4/5*15/31

4/3-12/31

124-36/93

88/93

Answer 2

Explanation:

let sec theta=5/3=k/a

by Pythagoras theorem

k²=a²+l² (l for find the value )

5²=3²+l²

25=9+l²

l²=25-9

l=√16

l=4

then,

tan thetha-sin thetha/1+tan thetha. sin thetha

4/3-4/5/1+4/3*4/5

4/3-4/5+16/15

4/3-60+80/75

4/3-140/75

300-420/225

-120/225

-24/45