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The number of all possible 5-tuples (a(1...

The number of all possible 5-tuples `(a_(1),a_(2),a_(3),a_(4),a_(5))` such that ` a_(1)+a_(2) sin x+a_(3) cos x + a_(4) sin 2x +a_(5) cos 2 x =0` hold for all x is

A

0

B

1

C

2

D

infinite

Text Solution

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The correct Answer is:
B
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ML KHANNA-TRIGONOMETRICAL EQUATIONS -PROBLEM SET (3) (MULTIPLE CHOICE QUESTIONS)
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  2. The number of all triplets (a1,a2,a3) such that a1 + a2 cos 2x + a3 si...

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  3. The number of all possible 5-tuples (a(1),a(2),a(3),a(4),a(5)) such th...

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  4. The equation (cos p-1) x^(2) + cos p*x + sin p = 0 where x is a varia...

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  5. If A,B,C the angles of a triangle be in A.P. and satisfy the relations...

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  6. The number of solution(s) of 2cos^(2)(x/2)sin^(2)x=x^(2)+1/x^(2), 0 le...

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  8. One value of theta which satisfies the equation sin^(4)theta-2sin^(2)t...

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  9. The number of solutions of the equation sin^3x cos x + sin^2 x cos^2x ...

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  10. The number of solutionsof the equation 1 +sin x sin^2 ""(x)/2 = 0 i...

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  11. If 0le x le pi and 81^(sin^2 x) + 81^(cos^2x) = 30, then x is equal to

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  12. If 3^(sin2x + 2cos^2x) + 3^(1-sin2x + 2sin^2x) = 28 , then the values ...

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  13. Solve 2^(cos 2x)+1=3.2^(-sin^(2) x)

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  14. The equation sin^(4) x + cos^(4) x + sin 2x + k = 0 must have real s...

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  15. The equation sin^4 x - 2cos^2 x + a^2 = 0 is solveble if

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  16. Solve: log(cosx) sin x + log(sin x) cos x = 2.

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  17. If log(cosx)tan x + log(sinx) cot x = 0, then the most general value o...

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  18. If abs(cos x)^(sin^2 x - 3/2 sin x + 1/2) = 1, then possible values ...

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  19. Find all values of theta in the interva (-pi/2,pi/2) satisfying the eq...

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  20. The value of x between 0 and2pi which satisfy the equation sinx.sqrt(8...

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