(1+cotA-cosecA)(1+tanA+secA)=2prove that
Answers
Answered by
3
(1+cosA/sinA- 1/sinA)(1+sinA/cosA+1/cosA)
(sinA+cosA-1)/sinA × (cosA+sinA+1)/cosA
{(sinA+cosA)^2- (1)^2} / (sinA × cosA)
{(sinA)^2+(cosA)^2+2×sinA.cosA - 1} / (sinA×cosA)
{1 - 1 + 2×sinA× cosA}/(sinA×cosA)
={2× sinA× cosA} /{ sinA×cosA }
=2
=proved from RHS...
(sinA+cosA-1)/sinA × (cosA+sinA+1)/cosA
{(sinA+cosA)^2- (1)^2} / (sinA × cosA)
{(sinA)^2+(cosA)^2+2×sinA.cosA - 1} / (sinA×cosA)
{1 - 1 + 2×sinA× cosA}/(sinA×cosA)
={2× sinA× cosA} /{ sinA×cosA }
=2
=proved from RHS...
Similar questions