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If each of alpha, betaa n dgamma is a po...

If each of `alpha, betaa n dgamma` is a positive acute angle such that `sin(alpha+beta-gamma)` `=1/2` , `cos(beta+gamma-alpha)=1/2 and tan(gamma+alpha-beta)=1,` find the values of `alpha,betaa n dgammadot`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
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  2. In an acute angled triangle A B C , if tan(A+B-C)=1 and ,sec(B+C-A)=2,...

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  3. If each of alpha, betaa n dgamma is a positive acute angle such that s...

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  5. If cosB=1/3, find the other five trigonometric ratios.

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  6. In a A B C , right angled at A , if A B=5,A C=12a n dB C=13 , find si...

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  7. If sintheta=(a^2-b^2)/(a^2+b^2) , find the values of other five trigo...

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  8. If cos e cA=sqrt(10), find other five trigonometric ratios.

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  9. If tanA=sqrt(2)-1 show that sinAcosA=(sqrt(2))/4

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  10. If cos e cA=2, find the value of 1/(tanA)+(sinA)/(1+cosA)

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  11. Evaluate the following: (i) sin39^0-cos51^0 (ii) cos e c25^0-sec65^0 ...

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  13. If A + B is 90^@, then ( tan A. tan B + tan A. cot B)/ (Sin A. Sec B)...

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  14. If (xcos e c^2 30^0sec^2 45^0)/(8cos^2 45^0sin^2 60^0)=tan^2 60^0-tan^...

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  15. The value of (cos(90^0-theta)sec(90^0-theta)tantheta)/(cos e c(90^0-t...

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  16. If tan2A=cot(A-18^0), where 2A is an acute angle, find the value of A.

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  17. Prove the following: sinthetasin(90^0-theta)-costhetacos(90^0-theta)=0

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

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

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

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