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If sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(...

If `sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(5))`, where A and B are positive acute angles, then `A+B=?`

A

`(7)/(sqrt(2))`

B

`(7)/(5sqrt(2))`

C

`(7)/(sqrt(5))`

D

`(7)/(2sqrt(5))`

Text Solution

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The correct Answer is:
B
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
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  2. If sinA+sinB=C,&cosA+cosB=D, then sin(A+B)=?

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  3. If sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(5)), where A and B are positiv...

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  4. cos^(2)48^(@)-sin^(2)12^(@)=?

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  5. sin((pi)/(10))sin((3pi)/(10))=?

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  6. If tanA-tanB=x and cotB-cotA=y, then cot(A-B)=?

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  7. tan((pi)/(4)+theta)-tan((pi)/(4)-theta)=?

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  8. cot((pi)/(4)+theta)cot((pi)/(4)-theta)=?

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  9. cos24^(@)+cos55^(@)+cos125^(@)+cos204^(@)+cos300^(@)=?

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  10. (2sinthetatantheta(1-tantheta)+2sinthetasec^(2)theta)/((1+tantheta)^(2...

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  11. If mtan(theta-30^(@))=ntan(theta+120^(@)), then (m+n)/(m-n)=?

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  12. cosA+cos(240^(@)+A)+cos(240^(@)-A)=?

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  13. 1+cos56^(@)+cos58^(@)-cos66^(@)=?

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  14. If A+B=225^(@), then (tanA)/(1-tanA).(tanB)/(1-tanB)=?

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  15. If tantheta=(xsinphi)/(1-xcosphi)&tanphi=(ysintheta)/(1-ycostheta), th...

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

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  17. If cos(A+B)=alphacosAcosB+betasinAsinB, then (alpha,beta)=?

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  18. tanalpha+2tan2alpha+4tan4alpha+8cot8alpha=?

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  19. The greatest value of cos^(2)((pi)/(3)-x)-cos^(2)((pi)/(3)+x) is

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  20. (sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))=? (x is in IV ...

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