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The equality sin A+ sin 2A + sin 3A = 3 ...

The equality `sin A+ sin 2A + sin 3A = 3` holds for some real value of A.

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Knowledge Check

  • The value of (sin 7 A + sin 3A)/(cos 7 A + cos 3 A) is equal to

    A
    tan 5A
    B
    cot 5 A
    C
    sec 5 A - tan 5 A
    D
    sec 5 A + cot 5 A
  • The value of (sin 7 A + sin 3 A)/(cos 7 A + cos 3 A) is equal to

    A
    `tan 5 A`
    B
    `cot 5 A`
    C
    `sec 5A - tan 5A`
    D
    `sec 5A + cot 5A`
  • If sin 2A =sin 3A and 0 le A le 90^(@), then A is equal to

    A
    `45^(@)`
    B
    ` 60^(@)`
    C
    `0^(@) or 36^(@)`
    D
    `72^(@)`
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