Question

Find an acute angle θ when cos θ - sin θ / cos θ + sin θ = 1- √3 / 1+√3.

Answer 1

divide LHS by cos theta- we'll get:
(1-tan theta)/(1+tan theta)= 1-root3/1+root3(rationalize the RHS)

 (1-tan theta)/(1+tan theta)=root3-2

so, 1-tna theta= root3-2 + (root3-2)tan theta

take tan theta terma to one side you'll get:

tan thete(root3-1)=3-root3     (take root 3 common from RHS)

tan theta=root3

tan theta=tan 60

theta=60 degree.

ok..... thankss

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