Question

answer the question

Answer 1

Please see the attachment

Answer 2

LHS

= 1/ sin 10 - √3 / cos 10

= (cos 10 - √3 sin 10)/ sin 10 cos 10

= 2 (cos 10 - √3 sin 10)/ 2 sin 10 cos 10      [multiplied and divided by 2]

=  2 (1/2 cos 10 - √3/2 sin 10)/  sin 10 cos 10

= 2 x 2 (sin 30 cos 10 - cos 30 sin 10) / 2 sin 10 cos 10    [multiplied and divided by 2]

= 4 { sin (30-10)}/ sin (2x10)      [sin (a+b = sin a cos b + cos a sin b)]  [ sin 2a = 2 sin a cos a]

= 4 (sin 20)/sin 20

= 4