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"sin"^(4)(pi)/(16) + "sin"^(4) (3pi)/(16...

`"sin"^(4)(pi)/(16) + "sin"^(4) (3pi)/(16) + "sin"^(4) (5pi)/(16) + "sin"^(4) (7pi)/(16)=`

A

1

B

`1//2`

C

`3//2`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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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) .

Show that sin ^(4). (pi)/(8)+ sin ^(4) .(3pi)/(8) sin ^(4). (5pi)/(8)+sin ^(4). (7pi)/(8) =(3)/(2)

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

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