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Show that 4sin27^0=(5+sqrt(5))^(1/2)-(3-...

Show that `4sin27^0=(5+sqrt(5))^(1/2)-(3-sqrt(5))^(1/2)`

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at l...

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  2. Let alt=blt=c be the lengths of the sides of a triangle. If a^2+b^2 &...

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  3. Show that 4sin27^0=(5+sqrt(5))^(1/2)-(3-sqrt(5))^(1/2)

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  4. The sum of all roots of sin(pi(log)3(1/x))=0 in (0,2pi) is 3/2 (b) 4 ...

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  5. Three parallel chords of a circle have lengths 2,3,4 units and subtend...

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  6. Prove that cos36^0cos72^0cos108^0cos144^0=1/(16)dot

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  7. The equation tan^4x-2sec^2x+a=0 will have at least one solution if

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  8. A tower P Q stands at a point P within the triangular park A B C such ...

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  9. The number of ordered pairs (x,y) satisfying |x|+|y|=2 and sin""((pi...

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  10. If tanbeta=(tanalpha+tangamma)/(1+tanalphatangamma)dot prove that sin...

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  11. Prove that a(bcosC-ccosB)=b^2-c^2

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  12. If 4sin^4x+cos^4x=1,then x is equal to (n in Z) (a)npi (b) npi+-...

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  13. If x+y+z=x y z prove that (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)=(2x)/...

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  14. If in a triangle acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then find the rela...

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  15. Evaluate cosacos2acos3a......... cos 999 a , where a=(2pi)/(1999)dot

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  16. If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z)...

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  17. Let ABC be a triangle of area 24sq.units and PQR be the triangle forme...

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  18. Find the number of pairs of integer (x , y) that satisfy the followin...

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  19. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

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  20. Let A D be a median of the A B Cdot If A Ea n dA F are medians of ...

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