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(1+cos (pi/10))(1+cos ((3 pi)/10))(1+cos...

`(1+cos (pi/10))(1+cos ((3 pi)/10))(1+cos((7 pi)/10))(1+cos((9 pi)/10))=` `(i)1/8 (ii) 1/16 (iii)1/4 (iv) 1/6`

Answer

Step by step text solution for (1+cos (pi/10))(1+cos ((3 pi)/10))(1+cos((7 pi)/10))(1+cos((9 pi)/10))= (i)1/8 (ii) 1/16 (iii)1/4 (iv) 1/6 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Prove that (1+cos(pi/10))(1+cos(3pi/10))(1+cos(7pi/10))(1+cos(9pi/10))=1/16

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Knowledge Check

  • (1+cos (pi//8))(1+cos(3pi//8))(1+cos(5pi//8)) (1+cos(7pi//8))=

    A
    `1//2`
    B
    `cos(pi//8)`
    C
    `1//8`
    D
    `(1+sqrt(2))//2sqrt(2)`

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