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If tantheta=sqrt(a/b)where a , b are p...

If `tantheta=sqrt(a/b)`where `a , b ` are positive reals then the value of `sinthetasec^7theta+costheta cosec^7theta` is- a.`((a+b)^3(a^4+b^4))/((a b)^(7//2))` b. `((a+b)^3(a^4-b^4))/((a b)^(7//2))` c.`((a+b)^3(b^4-a^4))/((a b)^(7//2))` d. `((a+b)^3(a^4+b^4))/((a b)^(7//2))`

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. The expression (sin 22^0cos8^0+cos 158^0cos98^0)/(sin 23^0cos7^0+cos 1...

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  2. The two legs of a right triangle are sin theta+sin((3pi)/(2)-theta) an...

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  3. If tantheta=sqrt(a/b)where a , b are positive reals then the value o...

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

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

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

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  7. If sin theta+"cosec"theta=2, then the value of sin^(8)theta+"cosec"^(...

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  8. If the expression 4sin5alphacos3alphacos2alpha s expressed as the su...

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  9. The expression 3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+al...

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

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  11. The product cot123^0dotcot133^0dotcot137^0dotcot147^0, when simplified...

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

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

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

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

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

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

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

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