Question

If sec theta= 5/4 , for finding value sin theta, with full written work please​

Answer 1

Answer:

12/17

Step-by-step explanation:

Given: sec θ= 4/5

secθ=

(4k)/5k= 4/5and cosθ=5/4

Where k is any positive.

By pythagoras theorem:

AC2=AB2=BC2

BC2 =AC2= AB2

=25k2 + 16k2

BC = 3k

Find sinθ,tanθ and cotθ using their definition

sinθ= hypotenuse/perpendicular =3/5

tanθ= base/perpendicular= 3/4

cotθ= tanθ/1=4/3

now

LHS=( tanθ−cotθ/sinθ−2cosθ)

= 3/5-2×4/5/3/4-4/3

LHS= 3-8/5/9-16/12

LHS=12/7

LHS=RHS

Mark as brainliest answer.