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The maximum value of 4sin^2x+3cos^2x+sin...

The maximum value of `4sin^2x+3cos^2x+sin(x/2)+cos(x/2)` is

A

`4+sqrt2`

B

`3+sqrt2`

C

9

D

4

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The correct Answer is:
A
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
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  7. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

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  8. If in a triangle ABC ,(sin A+sin B +sin C)(sinA+sinB-sin C)=3sinAsinB ...

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  9. Let n be a fixed positive integer such that sin(pi/(2n))+cos(pi/(2n))=...

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  10. Minimum value of4x^2-4x abs(sintheta)-cos^2theta is equal to

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  12. For 0ltthetaltpi/2 the solution of underset (m=1)overset6sumcosec(thet...

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  14. If tan9theta=3/4(where0ltthetaltpi/18)then the value of (3cosec 3theta...

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  15. If A,B,C are interior angles of a triangle ABC such that (cosA+cosB+co...

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  16. If tantheta+sectheta=e^x then costheta equals

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  17. If lambda be the minimum value of , y=(sinx+cosecx)^2+(cosx+secx)^2+(t...

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  18. If (sqrt2cosx+sqrt2sinx+sqrt7)m=1 holds then

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  19. if costheta1+costheta2+costheta3=3then sin^2theta1+sin^4theta2+sin^6th...

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  20. If sintheta+cosectheta=2 then sin^ntheta+cosec^ntheta=

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