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Prove that:
tan13x – tan 9x – tan 4x = tan 13 x
Tan 9x tan 4x
We have 13x = 9x + 4x
⇒ tan 13x = tan(9x + 4x)
We know that
⇒ tan 13x(1 – tan 9x tan 4x) = tan 9x + tan 4x
⇒ tan 13x – tan 13x tan 9x tan 4x = tan 9x + tan 4x
∴ tan 13x – tan 9x – tan 4x = tan 13x tan 9x tan 4x
Hence proved.
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