Question

Cos theta/1-tan theta + sin theta/1-cos theta

Answer 1

Answer:

1-tan theta = sec theta

sec theta = 1 / cos theta

sin theta = 1- cos² theta

= (1+cos theta)( 1-cos theta)

cos theta / 1- tan theta + sin theta / 1- cos theta

= (cos theta × 1/ cos theta) + (1+cos theta)( 1-cos theta) / 1-coa theta

(cancellation of similar terms)

= 1+1+cos theta = 2+ cos theta

answer :

= 2+ cos theta