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A and B are positive acute angles satisf...

A and B are positive acute angles satisfying the equations
`3cos^(2)A+2cos^(2)B=4` and `(3sinA)/(sinB)=(2cosB)/(cosA)`, then `A+2B` is equal to (a) `pi/4` (b) `pi/3` (c) `pi/6` (d)`pi/2`

A

`pi//4`

B

`pi//3`

C

`pi//6`

D

`pi//2`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. The greatest integer less than or equal to (1)/(cos 290^(@))+(1)/(sqrt...

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  2. If tan alpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1) then alpha+bet...

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  3. A and B are positive acute angles satisfying the equations 3cos^(2)A...

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  4. If T(n)=cos^(n)theta+sin ^(n)theta, then 2T(6)-3T(4)+1=

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  5. The maximum value of 1+8sin^(2)x^(2)cos^(2)x^(2) is

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  6. about to only mathematics

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  7. The expression 3{sin^(6)""((pi)/(2)+alpha)+sin^(6)(5pi-alpha)} is equa...

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  8. The minimum value of (1)/(3sintheta-4costheta+7), is

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  9. The maximum value of cos^(2)A+cos^(2)B-cos^(2)C, is

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  10. If ys invarphi=x s in(gamma+delta)=cos(alpha-beta)sin(gamma-delta), pr...

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  11. cosx{(cosx)/(1-sinx)+(1-sinx)/(cosx)}, is

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  12. If tanx=(b)/(a), then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)...

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  13. In tantheta+sec theta=sqrt3,0ltthetaltpi, then theta is equal to

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  14. If sqrt3sin theta+costhetagt0, then theta lies in the interval

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  15. Let 0lt x lepi//4, (sec 2x-tan2x) equals

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  16. Prove that ((cos A+cos B)/(sinA-sinB))^(n)+((sinA+sinB)/(cos A-cosB))^...

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  17. If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z) ...

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  18. If (cos theta)/(a)=(sin theta)/(b), then (a)/(sec2theta)+(b)/(cosec2th...

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  19. If k(1)=tan 27 theta-tan theta and k(2)=(sin theta)/(cos 3 theta)+(sin...

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  20. Find the number of integral values of k for which the equation 7 cos x...

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