Question

if 5 sin theta = 13 cos theta then find the value of sin theta - cos theta / sin theta + cos theta​

Answer 1

Answer:

answer is 4/9.( i m using o for theta here)

Step-by-step explanation:

5 sin o=13 cos o  

sin o=13/5 (cos o)

(sin o -cos o)/(sin o + cos o)  ->eqn 1

sub that in eqn 1,

=(13/5(cos o)-cos o)/(13/5(cos o)+cos o)

=(8cos o/5) /(18cos o/5)

=4/9