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There are trignometrical equations that ...

There are trignometrical equations that are nonstandard in aspect in that the equation may contain dissimilar terms, say algebric as well as trignometric expressions, or three may be only one equation in more than unknowns. In such cases we make use of the extreme values of trignometric functions or algebric functions. In particular `|sinx| le 1, |cos x| le 1`, and maxima/minima of quadratic expressions are widely made use of
The equation `(sin(pix)/6)=x^(2)-6x+10` holds for

A

(a)Infintely many values of `x`

B

(b)Finitely many values of `x`

C

(c)Just one valule of `x`

D

(d)No value of `x`

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The correct Answer is:
A
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There are trignometrical equations that are nonstandard in aspect in that the equation may contain dissimilar terms, say algebric as well as trignometric expressions, or three may be only one equation in more than unknowns. In such cases we make use of the extreme values of trignometric functions or algebric functions. In particular |sinx| le 1, |cos x| le 1 , and maximum/minimaof quadratic expressions are widely made use of The equation sin(pi/6)=x^(2)-6x+10 holds for i)Infintely many values of x ii)Finitely many values of x iii)Just one value of x iv)No value of x

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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section D (Linked Comprehension Type Questions)
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  2. From algebra we know that if ax^(2) +bx + c=0 , a( ne 0), b, c in R ha...

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  3. In reducing a given trignometric equation to the standard form (sinx =...

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  4. In reducing a given trignometric equation to the standard form (sinx =...

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  5. In reducing a given trignometric equation to the standard form (sinx =...

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  6. There are trignometrical equations that are nonstandard in aspect in t...

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  7. The equation 8 cos^(4) x/2 sin^(2)x/2= x^(2) +1/x^(2), x int (0,4pi] h...

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  8. The equation "cosec " x/2 + " cosec " y/2 + " cosec " z/2=6, where 0 ...

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  9. There are trignometrical equations that are nonstandard in aspect in t...

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  10. The equation 8 cos^(4) x/2 sin^(2)x/2= x^(2) +1/x^(2), x int (0,4pi] h...

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  11. The equation "cosec " x/2 + " cosec " y/2 + " cosec " z/2=6, where 0 ...

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  12. Recall that sinx + cosx =u (say) and sin x cosx =v (say) are connect...

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  13. Recall that sinx + cosx =u (say) and sin x cosx =v (say) are connect...

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  14. Recall that sinx + cosx =u (say) and sin x cosx =v (say) are connect...

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  15. Consider a triangle ABC, and that AA', BB', CC' be the perpendicular f...

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  16. Consider a triangle ABC, and that AA', BB', CC' be the perpendicular f...

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  17. Consider a triangle ABC, and that AA', BB', CC' be the perpendicular f...

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  18. Let us consider a triangle ABC having BC=5 cm, CA=4cm, AB=3cm, D,E are...

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  19. Let us consider a /\ ABC having BC=5 cm, CA=4cm, AB=3cm, D,E are point...

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  20. Let us consider a triangle ABC having BC=5 cm, CA=4cm, AB=3cm, D,E are...

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