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If sintheta=(m^(2)-n^(2))/(m^(2)+n^(2)),...

If `sintheta=(m^(2)-n^(2))/(m^(2)+n^(2))`, then `tantheta=?`

A

`(m^(2)-n^(2))/(m^(2)+n^(2))`

B

`(2mn)/(m^(2)+n^(2))`

C

`(m^(2)-n^(2))/(2mn)`

D

`(m^(2)+n^(2))/(2mn)`

Text Solution

Verified by Experts

The correct Answer is:
C
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LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
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  2. In a right angled triangle base BC=15 cm and sinB=(4)/(5) , then what ...

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  3. If sintheta=(m^(2)-n^(2))/(m^(2)+n^(2)), then tantheta=?

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  4. If sin(x-y)=(1)/(2) and cos(x+y)=(1)/(2) , then value of x is

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  5. If 1+tantheta=sqrt(2) , then value of cot theta-1 is

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  6. If sin(x+54^(@))=cosx , where 0ltx,x+54^(@)lt90^(@) than what is the v...

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  7. If xcos60^(@)+ycos0^(@)=3 and 4xsin30^(@)-ycot45^(@)=2, then what is t...

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  8. If cos x + cos^2 x = 1, then what is the value of sin^2 x + sin^4 x ?

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  9. If x + y = 90^@ and sin x : sin y = sqrt(3): 1, then what is x : y equ...

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  10. If 0lexle(pi)/(2) then which one of the following is always true ?

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  11. If p = tan^2 x + cot^2 x, then which one of the following is correct ?

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  12. value of (5sin75^(@)sin77^(@)+2cos13^(@)cos15^(@))/(cos15^(@)sin77^(@)...

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  13. If 0 lt x lt 45^(@) and 45^(@) lt y lt 90^(@), then which one of the f...

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  14. What is the value of sin^(3) 60^(@) cot 30^(@) - 2 sec^(2) 45^(@) + 3 ...

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  15. If tan theta = (p)/(q), then what is (p sec theta - q cosec theta)/(p ...

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  16. The value of cosec^(2) theta -2 + sin^(2) theta is always

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  17. If cot theta = (2xy)/(x^(2) - y^(2)), then what is cos theta equal to ...

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  18. For what value of theta, is (tan theta + cosec theta) = 2.5 where 0 lt...

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  19. If 0ltthetaltphilt90^(@) then which one of the following is true ?

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  20. If tantheta=(2t)/(1-t^(2)) then sin theta+cos theta equals

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