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

If `tan alpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1) then alpha+beta` equals

A

`pi//6`

B

`pi//4`

C

`pi//3`

D

`pi//2`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
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  4. A and B are positive acute angles satisfying the equations 3cos^(2)A...

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

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

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  7. Let thetain(0,pi//4)and t(1)=(tantheta)^(tantheta), t(2)=(tantheta)^(...

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  8. The expression 3{sin^(6)""((pi)/(2)+alpha)+sin^(6)(5pi-alpha) is equal...

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

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  11. If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) the...

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

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  13. If tanx=b/athen sqrt((a+b)/(a-b"))+sqrt((a-b)/(a+b))=

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

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

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

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  17. If n is an odd positive interger, then ((cosA+cosB)/(sinA-sinB))^(n)...

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  18. If 3 tan (theta-15^(@))=tan(theta+15^(@)), 0lt thetalt pi,then theta=

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  19. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

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  20. If a=tan27theta-tantheta and b=(sin theta)/(cos3theta)+(sin3theta)/(co...

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