Question

please solve with explanation​

Answer 1

Answer:

sin4a+sin5a+sin6a/cos4a+cos5a+cos6a=tan5a

Step-by-step explanation:

L.H.S = sin4A+sin5A+sin6A/cos4A+cos5A+cos6A

=sin4A+sin6A+sin5A/cos4A+cos6A+cos5A

=2sin(4A+6A/2)cos(4A−6A/2)+sin5A/2cos(4A+6A/2)cos(4A−6A/2)+cos5A

=2sin5Acos(−A)+sin5A/2cos5Acos(−A)+cos5A

=sin5A(2cos(−A)+1)/cos5A(2cos(−A)+1)

=tan5A

=R.H.S