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If 0lexle(pi)/(2) then which one of the ...

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

A

`sin^(2)xlt(1)/(2)andcos^(2)xgt(1)/(2)`

B

`sin^(2)xgt(1)/(2)andcos^(2)xlt(1)/(2)`

C

`sin^(2)xlt(1)/(2)andcos^(2)xlt(1)/(2)`

D

At least one of `sin^(2)x, cos^(2)x` is less than `1` .

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The correct Answer is:
D
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LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
  1. If cos x + cos^2 x = 1, then what is the value of sin^2 x + sin^4 x ?

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

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

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

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

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

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

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

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

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

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

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

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

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  14. If 0 le theta lt pi/2 and p= ssec^(2)theta then which one of the follo...

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  15. In a triangle ABC, angleABC = 90^(@), angleACB = 30^(@), AB= 5 cm. Wha...

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  16. If 0 le theta lt pi/2 and costheta + sqrt(3) sin theta =2, then what ...

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  17. Suppose ABC is a right angled triangle with right angled at C . If len...

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  18. ABC is a right triangle with right angle at A. If the value of tan B =...

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  19. If alpha is an acute angle and sinalpha = sqrt((x-1)/(2x)), then what ...

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  20. If theta is in first quadrant and costhetage(1)/(2) then which one of ...

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