Question

Prove that
sin5-sin15+sin25-sin35)/(cos5-cos15-cos25+cos35) =cot10​

Answer 1

Answer:

Hopes it helps you

Step-by-step explanation:

L.H.S = cos5 – sin 25

= sin 95 – sin 25 [ sin(90+5) = cos5 ]

= 2 * cos (95+25)/2 * sin (95-25)/2

= 2 * cos60 * sin35

=2 * ½ * sin35 (cos60 = ½ )

= sin35

= R.H.S

hence L.H.S = R.H.S