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The value of the determinant : |(sin^(2)...

The value of the determinant : `|(sin^(2)13^(@)""sin^(2)77^(@)""tan135^(@)),(sin^(2)77^(@)""tan135^(@)""sin^(2)13^(@)),(tan135^(@)""sin^(2)13^(@)""sin^(2)77^(@))|` is equal to :

A

`-1`

B

0

C

1

D

2

Text Solution

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The correct Answer is:
B
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MODERN PUBLICATION-TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS-MULTIPLE CHOICE QUESTION(LEVEL-II)
  1. If tan(picos theta) = cot(pisin theta), then cos(theta - pi/4) is :

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  2. If (sec^4theta)/a+(tan^4theta)/b=1/(a+b), then prove that |b|lt=|a| .

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  3. The value of the determinant : |(sin^(2)13^(@)""sin^(2)77^(@)""tan135^...

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  4. If t a nalpha,t a nbeta,t a ngamma are the roots of the equation x^3-p...

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  5. if O is the point inside the triangle ABC such that /OBC = A/2, /OCA =...

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  6. If B - 45^(@) in DeltaABC, then :

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  7. In a triangle,tanA + tanB + tanC = 6 and tanA tanB = 2, then the value...

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  8. If n is an odd positive interger, then ((cosA+cosB)/(sinA-sinB))^(n)...

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  9. If tan x= (2b)/(a-c), a!=c, y = a cos^2 x +2b sin x*cos x + c sin^2x, ...

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  10. If (sec A + tan A) (sec B + tan B) (sec C + tan C) = (sec A-tan A) (se...

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  11. If a=1/(5cosx+12sinx) then for all real x.

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  12. If A + B =pi/3 and cosA + cosB = 1, then :

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  13. If Agt=0,B=0,A + B = pi/3 and y = tanA.tanB, then :

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  14. 3^(sin2x + 2cos^(2)x) + 3^(1 - sin2x + 2sin^(2)x) = 28 is satisfied by...

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  15. Let f(x) = e^(cos^(-1)sin(x + pi//3)), Then :

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  16. If asin^(2)x + bcos^(2)x = cbsin^(2)y + acos^(2)y = d and atanx = btan...

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  17. If 33theta = pi, then cos theta cos2theta cos4theta cos8theta cos16the...

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  18. The minimum value of the expression sin theta(1) + sin theta(2) + sin ...

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  19. 2sec^(2)theta - sec^(4)theta - 2cosec^(2)theta + cosec^(4)theta = 15/4...

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  20. If tan25^(@) = x, then(tan155^(@) - tan115^(@))/(1 + tan155^(@) tan115...

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