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If cosA+cosB=m and sinA+sinB=n then sin(...

If `cosA+cosB=m` and `sinA+sinB=n` then `sin(A+B)=`

A

`(mn)/(m^(2)+n^(2))`

B

`(2mn)/(m^(2)+n^(2))`

C

`(m^(2)+n^(2))/(2mn)`

D

`(mn)/(m+n)`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. If sinA+cosA=m an sin^(3)A+cos^(3)A=n, then

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  3. If cosA+cosB=m and sinA+sinB=n then sin(A+B)=

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  4. If ltA lt(pi)/(6) and sinA+cosA=(sqrt7)/(2),"then" tan""(A)/(2)=

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  6. If n=pi/(4alpha), then tanalpha tan 2alpha tan 3 alpha........tan(2n-1...

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  11. If cosA=tanB, cos B=tanC, cosC=tanA, then sin A is equal to

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  12. If A(1)A(2)A(3)A(4)A(5) be regular pentgon inscribed in anunit circle....

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  13. If tanalpha is equal to the integral solution of the inequality 4x^2-1...

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  14. If (x)/(cos theta)=(y)/(cos(theta-(2pi)/(2)))=(2)/(cos(theta+(2pi)/(3)...

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  18. If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d and atanx=btany then a^2/b^2=.....

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  19. If a (n+1)=sqrt((1)/(2)(1+a(n)))then cos((sqrt(1-a(0)^(2)))/(a(1)a(2)a...

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