Question

can anybody proved this question​

Answer 1

sin 75 - sin 15 / cos 75 + cos 15 = 1/root 3

= cos 15 - sin 15/sin 15 + cos 15

= ( cos 15 - sin 15 )2/ cos 15 - sin 15

=  - 2cos 15 sin 15 + 1/ cos 30

= 1 - 1/2 / root 3 /2

= 2 - 1/root 3

=   1/√3