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Prove that the value of 5 cos theta + 3c...

Prove that the value of `5 cos theta + 3cos (theta + pi/3) +3` lies between - 4 and 10.

A

`-4,10`

B

5,12

C

`-5,12`

D

`-4,5`

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The correct Answer is:
A
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (2) ( MULTIPLE CHOICE QUESTIONS)
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  2. The minimum value of 3 cos x+4 sin x+8 is:

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  5. If a cos theta - b sin theta = lambda, then AA real theta

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  6. sqrt( 3) sin x + cos x is maximum when x is

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  7. The set of values of 'a' for which the equation sqrt(a) "cos" x -2 "...

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  8. Given 12 sin theta + 5 cos theta =2 x^(2) - 8 x +21 and theta and x a...

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  10. The equation sin x ( sin x + cos x ) = k has real solution if and only...

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  11. The maximum value of 12 sin theta -9 sin ^(2) theta is

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  12. cos2 theta+2 costheta is always

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  13. If l,g are the least and greatest values of 9 cos 2theta - 24 cos thet...

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  14. The ratio of the greatest value of 2-cos x+s in^2x to its least value ...

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  15. If cos A = 3/4 then the value of 32sin( A/2)* sin (5A/2) is.

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  16. The value of sin^3 10^0+sin^3 50^0-sin^3 70^0 is equal to -3/2 (b) 3/...

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  17. If y = 4sin ^(2) theta - cos 2 theta, then y lies in the interval

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  18. If x = ( 4 lambda)/( 1+ lambda^(2)) and y = ( 2 - 2 lambda^(2))/( 1+ ...

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  19. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

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  20. The given expression sec^2 theta =(4xy)/((x+y)^(2)) is true if and onl...

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