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If tanx=(3)/(4), 0ltxlt90^(@) then what ...

If `tanx=(3)/(4), 0ltxlt90^(@)` then what is the value of `sinx cosx` ?

A

`(3)/(5)`

B

`(4)/(5)`

C

`(12)/(25)`

D

`(13)/(25)`

Text Solution

Verified by Experts

The correct Answer is:
C
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LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
  1. If tanx=(3)/(4), 0ltxlt90^(@) then what is the value of sinx cosx ?

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  2. Which of the following is true ?

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  3. Statement (A) : sin1^(@)ltcos1^(@) Reason (R ) : sinthetaltcostheta ...

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  4. If cosA=(5)/(13) then what is the value of (sinA-cotA)/(2tanA) ?

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  5. If sinx=cosy where x and y are acute angle then what is the relation b...

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  6. In a right angled triangle base BC=15 cm and sinB=(4)/(5) , then what ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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