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if f(theta)=acostheta+bsintheta then -sq...

if `f(theta)=acostheta+bsintheta` then `-sqrt(a^2+b^2)lef(theta)lesqrt(a^2+b^2)`
The maximum value of `12sintheta-9sin^2theta` is

A

3

B

4

C

5

D

21

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The correct Answer is:
B
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If Pn=sin^ntheta+cos^ntheta where n in W (whole number)and theta in R ...

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  2. If Pn=sin^ntheta+cos^ntheta where n in W (whole number)and theta in R ...

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  3. if f(theta)=acostheta+bsintheta then -sqrt(a^2+b^2)lef(theta)lesqrt(a^...

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  4. if f(theta)=acostheta+bsintheta then -sqrt(a^2+b^2)lef(theta)lesqrt(a^...

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  5. if f(theta)=acostheta+bsintheta then -sqrt(a^2+b^2)lef(theta)lesqrt(a^...

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  6. Find the range of A/2 if it satisfies 2 cos( A/2)=sqrt(1+sin A)-sqrt(1...

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  7. If for two sets A and B,A-B=A then which of the following is true?

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  8. Match List - I with List-II

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  9. Match List - I with List-II

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  10. Five cards are drawn successively with replacement from a well-shuffle...

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  11. If sin 47^@+sin61^@-sin11^@-sin25^@ equals cosk^@,then k=?

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  12. The value of e^(log10tan1^@+log10tan2^@+log10tan3^@+...+log10tan89^@ i...

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  13. cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

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  14. The values of a for which the equation sqrtasinx-2cosx=sqrt2+sqrt(2-a...

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  15. If un=cos^ntheta+sin^ntheta then 2u6-ku4+1=0 then the numerical quanti...

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  16. In a Delta ABC

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  17. If the circumcentre of DeltaABC lies on incircle then cosA+cosB+cosC=s...

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  18. For all theta in [0,pi/2] show that cos(sintheta)gtsin(costheta)

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  19. Show that the value of the function (sinxcos3x)/(cosxsin3x), where eve...

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  20. if alpha+beta+gamma=2pi prove that cos^2alpha+cos^2beta+cos^2gamma-2co...

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