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Prove that sin^(4) pi/8+ sin^(4) 3pi/8 +...

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

A

`(3)/(2)`

B

1

C

`(1)/(2)`

D

0

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The correct Answer is:
B, C
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. If A,Bin(0,pi//2),sinA=(4)/(5)andcos(A+B)=-(12)/(13), then sinB=?

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  2. If a sectheta+b tantheta=1anda^(2)sec^(2)theta-b^(2)tan^(2)theta=5, th...

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  3. Prove that sin^(4) pi/8+ sin^(4) 3pi/8 + sin^(4) 5pi/8 + sin^(4) 7pi/8...

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  4. If alpha is acute angle and 2sin^(2)alpha+15cos^(2)alpha=7, then cotal...

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  5. If 3xsintheta+2ycostheta=4and2xsintheta-3ycostheta=2, then relation be...

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  6. If sintheta+costheta=aandsectheta+cosectheta=b, then the value of b(a^...

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  7. If a sectheta+b tantheta=1anda^(2)sec^(2)theta-b^(2)tan^(2)theta=5, th...

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  8. If (sec^(4)alpha)/(sec^(2)beta)-(tan^(4)alpha)/(tan^(2)beta)=1 where a...

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  9. If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)alpha)/(sin^(2)beta)=1 then (c...

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  10. 7cosectheta+24sectheta=25cosecthetasectheta, then costheta=?

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  11. If 8sectheta+6cosectheta=20, then cottheta=?

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  12. The numerical value of cos 2pi/7 + cos 4pi/7 + cos 6pi/7 is=........

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  13. cos15^(@)cos7""(1)/(2)""^(@).cos82""(1)/(2)""^(@)=?

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  14. tan^(2)theta=1-e^(2), then sectheta+tan^(3)theta.cosectheta=?

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  15. 3tanthetatanphi=1, then (cos(theta-phi))/(cos(theta+phi))=?

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  16. tan20^(@)+tan40^(@)+sqrt(3)tan20^(@).tan40^(@)=?

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  17. sin36^(@).sin72^(@).sin108^(@).sin144^(@)=?

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  18. (2cos40^(@)-cos20^(@))/(sin20^(@))=?

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  19. The point (4,3) is translated to the point (3,1) and then the axes ar...

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  20. (cosx)/(cosy)=n,(sinx)/(siny)=m, then (m^(2)-n^(2))sin^(2)y=?

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