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Prove that: (sin2A sin3A-sin4A sin5A+sin...

Prove that:
`(sin2A sin3A-sin4A sin5A+sin3A sin6A)/(cos2A cos3A-cos4A cos5A+cos3A cos6A)=tan A tan4A`

Answer

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Prove that: sinA+sin2A+sin4A+sin5A= 4sin3A. cosA/2.cos(3A)/(2)

(sin A sin2A + sin3A sin6A) / (sin A cos2A + sin3A cos6A) = tan5A

Knowledge Check

  • (sinA+sin3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A) is :

    A
    `tan 2A`
    B
    `tan3A`
    C
    `tan4A`
    D
    `tan8A`

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