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If sin (picostheta) = cos (pisintheta) ,...

If `sin (picostheta) = cos (pisintheta)` , then show that, `theta = +-1/2sin^(-1)(3/ 4)`

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Knowledge Check

  • If sin(picostheta) = cos(pisintheta) , then cos(theta +-pi/4) is equal to

    A
    `cos pi/4`
    B
    1/2 cos pi/4`
    C
    `cos pi/8`
    D
    None of these

  • If sin(picostheta) = cos(pisintheta) , then cos(theta +-pi/4) is equal to

    A
    `cos pi/4`
    B
    1/2 cos pi/4`
    C
    `cos pi/8`
    D
    None of these

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    i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2 ii) If tan(picostheta)=cot(pisintheta) , then prove that: cos(theta-pi/4)=1/(2sqrt(2))

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