Math, asked by missme7247, 4 months ago

tan5A-tan3A/tan5A+tan3A=Sin2A / Sin8A

Answers

Answered by sri2008
0

Prove:

tan5A+tan3A

tan5A−tan3A

=

sin8A

sin2A

Answer

L.H.S

=

tan5A+tan3A

tan5A−tan3A

=

cos5A

sin5A

+

cos3A

sin3A

cos5A

sin5A

cos3A

sin3A

=

sin5A cos3A+sin3Acos5A

sin5Acos3A−sin3Acos5A

We know that

sin(A+B)=sinAcosB+cosAsinB

sin(A−B)=sinAcosB−cosAsinB

Therefore,

=

sin(5A+3A)

sin(5A−3A)

=

sin8A

sin2A

R.H.S

Hence, proved.

please

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