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If sin(x+54^(@))=cosx , where 0ltx,x+54^...

If `sin(x+54^(@))=cosx` , where `0ltx,x+54^(@)lt90^(@)` than what is the value of `x` ?

A

`54^(@)`

B

`36^(@)`

C

`27^(@)`

D

`18^(@)`

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The correct Answer is:
D
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LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
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  2. If 1+tantheta=sqrt(2) , then value of cot theta-1 is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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