Question

(cosec 0 - sin 0) (sec 0 - cos O) =1/tan0+cot0
​

Answer 1

Answer:

L.H.S

=(cosec A - sin A)(secA-cosA)

=(1/sinA-sinA)(1/cosA-cosA)

=(1-sin`A/sinA)(1-cos`A/cosA)

=cos`A/sin`A×sin`A/cos`A

=cosAsinA

R.H.S

=1/tanA+cotA

= 1

--------------------

sinA cosA

------------ + ----------

cosA sinA

= 1

—------------------------

sin`A+cos`A

------------------------

cosAsinA

cosAsinA

= 1×-------------------

1

=cosAsinA

L.H.S=R.H.S ( proved)