Question

prove that (cos ec 0-sin 0)(sec 0-cos 0)=1/tan 0+ cot 0​

Answer 1

QUESTION⤵

prove that (cos ec 0-sin 0)(sec 0-cosl 0)=1/tan 0+ cot 0

ANSWER ⤵

considerd the provided expression

(csc ∅-sin∅) (∅sec-cos∅)= 1

tan∅ +cot∅

consider the Lhs.

=(csc∅-sin∅) (sec∅-cos∅)

=( 1. -sin∅)( 1. - cos∅

sin∅ cos∅

=(1-sin ²∅)=(1-cos²∅)

sin∅ cos∅

=(cos²∅) (sin²∅)

( sin∅). (cos∅)

=cos ∅=sin∅

consider right hand side

= 1.

(tan∅-cos∅)

1.

sin∅ +cos∅

cos∅ sin∅

=cos ∅-sin∅

sin²+cos²

=cos∅sin∅

LHS=RHS