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Prove that cos^(4) .(pi)/(8) + cos^(4)...

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

A

0

B

`1//2`

C

`3//2`

D

1

Text Solution

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If tan(x/2)=cosec x-sin x, then find the value of tan^(2) (x/2).

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  2. Consider the system of equations in x, y, z as x sin 3 theta-y + z=0, ...

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  3. Prove that cos^(4) .(pi)/(8) + cos^(4).(3pi)/(8)+cos^(4).(5pi)/(8)+c...

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  4. Prove that : "tan"(pi/(4)+1/(2)"cos"^(-1)a/(b))+"tan"(pi/(4)-1/(2)"cos...

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  5. The equation sqrt3 sinx+cos x=4 has:

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  6. The value of cos 15^@ cos 7 1^@/2 sin 7 1^@/2 is:

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  7. The most general values of 'x' for which sin x + cos x =underset( a i...

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  8. If a= 2 sqrt2, b= 6, A = 45^@, then:

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  9. In triangle ABC, if sin Asin B=(ab)/c^2, then the triangle is :

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  10. The value of : (1+cos frac (pi)(6)) (1+cos frac (pi)(3))(1+cos frac (2...

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  11. P=1/2 sin^2 theta+1/3 cos^2 theta, then :

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  12. The smallest value of 5 cos theta+ 12 is :

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  13. Smallest form of 2/(sqrt(2+sqrt(2+sqrt(2+2 cos4x)))) is :

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  14. If 5 cos 2 theta +2 cos^2 (theta/2)+1=0, when (0 ltthetalt pi), then t...

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  15. If aa n db are positive quantities such that a > b , the minimum value...

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  16. If A+B=45^@ then then (cot A- 1) (cot B- 1) is equal to :

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  17. The solution of the equation : [sin x + cos x]^(1+sin2x)=2, -pi lexle ...

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  18. If sin A- sqrt6 cos A= sqrt7 cosA, then: cosA+ sqrt6 sinA is equal to...

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  19. If tan A and tan B are the roots of abx^2- c^2x + ab= 0, where a, b, c...

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  20. In a Delta ABC, if a =3, b=4, c=5, then find the distance between its ...

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