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tan4theta = 4tantheta(1-tan^2theta)/(1-...

`tan4theta` = `4tantheta(1-tan^2theta)`/`(1-6tan^2theta+tan^4theta)`

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Prove the following : tan4theta = (4tantheta-4tan^3theta)/(1-6tan^2theta+tan^4theta)

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Knowledge Check

  • cot theta - tan theta - 2 tan 2theta- 4 tan 4theta=

    A
    `4cot8theta-tan6theta`
    B
    `cot 8theta + tan 3theta`
    C
    `cot8theta+ cot6theta`
    D
    `8cot8theta`

  • cot theta-tan theta - 2 tan 2 theta - 4 tan 4 theta

    A
    `4 cot 8 theta - tan 6 theta`
    B
    `cot 8 theta + tan 3 theta`
    C
    `cot 8 theta + cot 6 theta`
    D
    `8 cot 8 theta`

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    Explore conceptually related problems

    Prove that : tan 4 theta= (4 tan theta(1-tan^2 theta)) /(1-6 tan^2 theta+ tan^4 theta) .

    Prove that: tan4 theta=(4tan theta(1-tan^(2)theta))/(1-tan^(2)theta+tan^(4)theta)

    Prove that :tan4 theta=(4tan theta-4tan^(3)theta)/(1-6tan^(2)theta+tan^(4)theta)

    Prove that : tan 4 theta = (4 tan theta - 4 tan^3 theta)/(1-6 tan^2 theta + tan^4 theta) .

    tan 3theta = tan 2theta + tantheta

    If theta=30^@ , verify that: (i) tan2theta=(2tantheta)/(1-tan^2theta) (ii) sin2theta=(2tantheta)/(1+tan^2theta)

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