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If tan2theta = cot(theta - 18^(@)), then...

If `tan2theta = cot(theta - 18^(@))`, then the value of `sin(5theta)/4 + cos (5theta)/4` is:

A

`1/sqrt(2)`

B

`2sqrt(2)`

C

1

D

`sqrt(2)`

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The correct Answer is:
D
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
  1. If tan(theta + 3theta) tan (2theta + 3theta)=1, then the value of sin(...

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  2. If secx = "cosec"y, then the value of "cosec"(x+y) is:

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  3. If tan2theta = cot(theta - 18^(@)), then the value of sin(5theta)/4 + ...

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  4. If sintheta + cos theta =1, then the value of sintheta - costheta is:

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  5. If k=(1-sinalpha)(1-sinbeta)(1-singamma)=(1+sinalpha)(1+sinbeta)(1+si...

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  6. If p=(secA - tanA) (secB - tanB) (secC - tanC) = (secA + tanA) (secB ...

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  7. The value of (1+ cot theta + "cosec"theta) (1+ cot theta - "cosec"thet...

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  8. Which of the following is not equal to: (tan theta + sectheta-1)/(tan ...

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  9. If tantheta+sintheta=m and tan theta-sin theta=n, then find the value ...

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  10. The value of (cos theta)/(tantheta + sec theta) - (cos theta)/(tan the...

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  11. sec^(2)theta + "cosec"^(2)theta is equal to which of the following?

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  12. The identity (1+ tan theta - sec theta)(1+ cot theta - "cosec"theta) n...

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  13. Which is equal to sectheta."cosec"theta ?

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  14. The value of tan^(4)A + tan^(2)A in terms of secA is

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  15. Find minimum value of sin^(2)theta+cosec^(2)theta+cos^(2)theta+sec^(...

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  16. If cos^(2)alpha+cos^(2)beta=2, then the value of tan^(3)alpha+sin^(...

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  17. If A = tan 11^(@) tan 29^(@), B = 2cot 61^(@) cot 79^(@), then which ...

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  18. The simplified value of (SecA-cosA)^(2)+("cosec" A-sinA)^(2)-(cotA-t...

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  19. The value of sin^2(1^@)+sin^2(5^@)+sin^2(9^@)+..........+sin^2(89^@) i...

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  20. The numerical value of cot 18^(@) (cot 72^(@) cos^(2) 22^(@) + (1)/...

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