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If A and C are two angles such that A+C=...

If `A` and `C` are two angles such that `A+C=(3pi)/4` then `(1+cotA)(1+cotC)=`

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If A+B+C=pi\ &sin(A+C/2)=ksinC/2, t h e ntanA/2tanB/2= a.(k-1)/(k+1) ...

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  2. If alpha+beta+gamma=2pi, then tanalpha/2tanbeta/2+tangamma/2=tanalpha...

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  3. If A and C are two angles such that A+C=(3pi)/4 then (1+cotA)(1+cotC)=

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  4. (log)(t1)(4sin9^0cos9^0)w h e r e\ t1=4sin 63^0cos 63^0\ e q u a l s ...

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  5. l=((cot^2x.cos^2x)/(cot^2x-cos^2x))^2 and m=a^(log(sqrt(a))[2cos(y/2)]...

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  6. If (a+b)tan(theta-varphi)=(a-b)tan(theta+varphi),\ t h e n(sin(2theta)...

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  7. Let m=t a n3\ a n d\ n=s e c6,\ then which of the following statement...

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  8. (sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...

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  9. If sce A=17/8 and cosec B=5/4, then sec(A+B) can have the value equal ...

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  10. It is known that sin beta= 4/5 and 0 lt beta lt pi, then the value of ...

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  11. In a Delta ABC, angle B lt angle C and the values of B and C satisfy t...

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  12. Prove that ((cos A + cos B)/( sin A - sin B )) ^(n) + ((sin A + sin B ...

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  13. If cos(A-B)=3/5 and tanA tanB=2, then a.cos A cosB=1/5 b. co...

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  14. If A+B=pi/3a n d\ cos A+cos B=1,\ t h e n- a.cos(A-B)=1//3 b. \ |cos ...

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  15. If A and B are acute positive angles satisfying the equations 3 sin^(2...

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  16. If A+B-C=3pi,\ t h e n\ sin A+ sin B-sin C is equal to- a.4sin(A...

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  17. 2\ s in1^0 15 ' is equal to- a.\ sqrt(2-sqrt(2+sqrt(2))) b. \ sqrt(2-s...

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  18. If tan^(3)theta+cot^(3)theta=52, then the value of tan^(2)theta+cot^(...

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  19. Given both thetaa n dvarphi are acute angles and sinalphabetagamma=1/2...

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  20. The maximum value of (log)(20)(3sin x-4cos x+15)- a.\ 1 b. 2 c. 3 d. ...

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