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If sinalpha+sin beta=a and cos alpha+cos...

If `sinalpha+sin beta=a and cos alpha+cos beta=b,then sin(alpha+beta)=`

A

ab

B

`a+b`

C

`(2ab)/(a^(2)-b^(2))`

D

`(2ab)/(a^(2)+b^(2))`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
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  7. If (a^(2)+1)/(2a)=costheta, then (a^(6)+1)/(2a^(3))=

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  8. The value of (1)/(cos290^(@))+(1)/(sqrt3sin250^(@)) is equal to

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

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

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

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

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

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

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

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

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

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

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