Question

If tan theta = a/b

sin theta+cos theta /sin theta - cos theta = ?

please explain step by step ​

Answer 1

Answer:

a+b/a-b

Step-by-step explanation:

tan theta=opposite/base, with the help of pythagoras we got,

hypotenuse =a^2+b^2

base=b

opposite=a

sin theta=a/a^2+b^2

cos theta=b/a^2+b^2

sin theta+cos theta/ sin theta- cos theta =

(a/a^2+b^2 + b/a^2+b^2) / a/a^2+b^2 - b/a^2+b^2

taking l.c.m. we got

=(a+b/a^2+b^2) / a-b/a^2+b^2

a^2+b^2 be cut we got =a+b/a-b