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If sin(A+B)=1 and cos(A-B)=(sqrt(3))/2, ...

If `sin(A+B)=1` and `cos(A-B)=(sqrt(3))/2`, then find A and B `dot`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Prove the following: sinthetasin(90^0-theta)-costhetacos(90^0-theta)=0

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  2. Find an acute angle theta , when (costheta-sintheta)/(costheta+sinthet...

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  3. If sin(A+B)=1 and cos(A-B)=(sqrt(3))/2, then find A and B dot

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  4. Evaluate each of the following: cot 12^circcot 38^circcot52^circcot60^...

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  6. If A+B=90^0, prove that sqrt((tanAtanB+tanAcotB)/(sinAsecB)-(sin^2B)/(...

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  7. If sin5theta=cos4theta, whre 5thetaa n d4theta are acute angles, find ...

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  8. If tantheta+1/(tantheta)=2 , find the value of tan^2theta+1/(tan^2thet...

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  9. Evaluate each of the following in the simplest form: 1).cosec30^0+cot...

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  10. In a right triangle ABC , right angled at B , the ratio of A BtoA C is...

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  11. In Figure, A D=D B \ and \ /B is a right angle. Determine. (a)\ sin th...

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  12. Find the value of x in each of the following: (i)tan3x=sin45^0cos45^...

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  13. If theta is an acute angle and tantheta+cottheta=2, find the value o...

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  14. Prove that: (cos30^0+sin60^0)/(1+cos60^0+sin30^0)=(sqrt(3))/2

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  15. Find the value of theta in each of the following: (i)2sin2theta=sqrt...

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  16. An equilateral triangle is inscribed in a circle of radius 6cm. Find ...

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  20. Evaluate each of the following: (a) cos(40^0-theta)-sin(50^0+theta)...

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