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If tantheta+sintheta=m and tan theta-sin...

If `tantheta+sintheta=m and tan theta-sin theta=n`, then find the value of `m^(2)-n^(2)`.

A

`2sqrt(mn)`

B

`4sqrt(mn)`

C

`sqrt(mn)`

D

`sqrt(2mn)`

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The correct Answer is:
B
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
  1. The value of (1+ cot theta + "cosec"theta) (1+ cot theta - "cosec"thet...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If sinalphasec(30^(@)+alpha)=1(0^(@)ltalphalt60^(@)), then find the va...

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  16. If cos^(4)alpha - sin^(4)alpha = 2/3, then the value of 2 cos^(2)theta...

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  17. If theta be a positive acute angle satisfying cos^(2)theta+cos^(4)...

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  18. If theta is an acute angle and tan theta + cot theta=2, then the value...

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  19. (sin^(2)1^(@) + sin^(2)3^(@) + sin^(2)5^(@) +sin^(2)7^(@) + ….. + sin^...

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  20. If 2cos theta - sin theta = 1/sqrt(2), (0^(@) lt theta lt 90^(@)) then...

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