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"sin"^(4)pi/8" +sin"^(4)(3pi)/8" +sin"^(...

`"sin"^(4)pi/8" +sin"^(4)(3pi)/8" +sin"^(4)(5pi)/8" +sin"^(4)(7pi)/8=`

A

`1/2`

B

`3/2`

C

`3/4`

D

`5/4`

Text Solution

Verified by Experts

The correct Answer is:
B
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(ii) Find the value of sin^(2). (pi)/(4) + sin^(2). (3pi)/(4) + sin^(2). (5pi)/(4) + sin^(2). (7pi)/(4) .

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Knowledge Check

  • "sin"^(2)pi/8" + sin"^(2)(3pi)/8" + sin"^(2)(5pi)/8" + sin"^(2)(7pi)/8=

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  • "sin"pi/14" sin"(3pi)/14" sin"(5pi)/14" sin"(7pi)/5=

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    B
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    D
    `sqrt(2)//7`

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    sin^(4)frac(pi)(8) + sin^(4) frac(2pi)8 + sin^(4) frac(3pi)8+sin^(4) frac(4pi)(8) +sin^(4)frac(5pi)(8) + sin^(4) frac(6pi)8 + sin^(4) frac(7pi)(8)=

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