Question

(cosecQ - sin Q) (secQ - cosQ) = 1/ tanQ + cotQ​

Answer 1

Answer:

Step-by-step explanati

solving lhs

cosecq=1/sinq

1/sinq-sinq = 1- sin^2q / sinq

= cos^2q/sinq

similarly secq-cosq=sin^2q/cos^2q

(cos^2q/sinq ) (sin^2q/cosq)

= cosq*sinq

solving rhs

1/tanq+cotq=sinq*cosq

therefore lhs =rhs

hence proved

very easy question