please solve with explanation
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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
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