Question

prove that,

tan(π/4+1/2cos`¹a/b)+tan(π/4-1/2cos`¹a/b)=2b/a​

Answer 1

Answer:

1/2cos`¹a/b=∅

:. cos`¹a/b=2∅ or, cos2∅=a/b

:. tan(π/4+∅)+tan(π/4-∅)

=tanπ/4+tan∅ /1-tanπ/4tan∅+ tanπ/4-tan∅ / 1+tanπ/4tan∅

=1+tan∅/1-tan∅+ 1-tan∅/1+tan∅

=(1+tan∅)²+(1-tan∅)²/1-tan²∅

=2/1-tan²∅/1+tan²∅

=2/cos2∅=2/a/b =2b/a (prove)

hope it's helpful (❤thankss⭐)