Question

( cosec20 + cot40 = cote - cosects​

Answer 1

Hi there!

~

cosec 20 -cot 40= 1/sin 20 - cos 40/sin 40

= (sin 40 -cos 40 sin20)/(sin 40 sin 20)

= 1/sin 40 ( 2 cos 20 - cos 40)

=1/sin20 ( 2 cos(60-40)-cos 40)

=1/sin40( 2 cos 60 cos 40 - 2 sin 60 -sin 40-cos 40)

Put the value of cos 60

= 1/sin 40 ( 2 sin 60 sin 40)

=root(3)

Hope this helped you!