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(The tangents of two acute angles are 3 and 2, The sine of twice their difference is

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If tantheta=sqrt(a/b)where a , b are positive reals then the value o...

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  2. The expression (sin(alpha+theta)-"sin"(alpha-theta))/(cos(beta-theta)-...

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  3. (The tangents of two acute angles are 3 and 2, The sine of twice their...

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  4. Exact value of cos 20^0+2sin^2\ \ 55^0-sqrt(2)sin65^0\ is- a.1 b. 1/(...

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  5. If cos(theta+phi)=mcos(theta-phi) ,then tantheta is equal to a.((1+m)...

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  6. If sintheta+cosectheta=2 , then the value of sin^8theta+cosec^8theta i...

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  7. If the expression 4sin5alphacos3alphacos2alpha s expressed as the ...

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  8. find the value of the expression 3[sin^4(3pi/2-alpha)+sin^4(3pi+alph...

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  9. If costheta=1/2(a+1/a)\ t h e n\ cos 3theta in term of ' a^(prime)= a...

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  10. The product cot123^@*cot133^@*cot137^@*cot147^@, when simplified is e...

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  11. 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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  12. The value of the expression (1-4sin 10^0\ sin 70^0)/(2sin 10^0\ ) is-...

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  13. Which of the following number (s) is/are rational ? a.sin 15^0 b....

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  14. If alpha+beta+gamma=2pi,\ then- a.tanalpha/2+(tan\ beta)/2+tangamma...

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

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

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

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  19. If theta is the internal angle of n sided regular polygon, then sinthe...

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

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