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The number of all possible values of the...

The number of all possible values of `theta`, where `0 lt theta lt pi`, for which the system of equations
`(y+z) cos 3 theta = (xyz) sin 3 theta`
`x sin 3 theta=(2 cos 3 theta)/y+(2 sin 3 theta)/z`
`(xyz) sin 3 theta = (y+2z) cos 3 theta +y sin 3 theta`
has a solution `(x_(0), y_(0), z_(0))` with `y_(0)z_(0) ne 0` is _______.

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The correct Answer is:
C
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ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. Let -pi/6 < theta < -pi/12. Suppose alpha1 and beta1, are the roots of...

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  3. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

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  4. Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for theta ...

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  5. The number of all possible values of theta, where 0 lt theta lt pi, fo...

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  6. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

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  7. If sin^ 4 x/2+cos^4 x/3 =1/5 then

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  8. Let theta in (0, pi/4) and t(1)=tan theta)^(tan theta), t(2)=(tan thet...

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  9. if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [...

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  10. If 5 (tan ^(2) x - cos ^(2) x ) = 2 cos 2x +9, then the value of cos 4...

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  11. Let F(k)(x)=1/k (sin^(k)x+cos^(k)x), where x in R and k ge 1, then fin...

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  12. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as (1) s...

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  13. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

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  14. If A = sin^2x + cos^4 x, then for all real x :

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  15. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

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  16. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

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  17. A triangular park is enclosed on two sides by a fence and on the third...

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  18. In Delta PQR , /R=pi/4, tan(P/3), tan(Q/3) are the roots of the equati...

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