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Match the statements/expressions given in Column I with the values given in Column II. Column I, Column II `sum_(i=1)^ootan^(-1)(1/(2i^2))=1,t h e ntant=` , Sides `a , b , c` for a triangle ABC are in A.P. and `costheta_1=a/(b+c),` `costheta_2=b/(a+c),` `costheta_3=c/(a+b),` then `tan^(2)((theta_1)/2)+tan^2((theta_3)/2)=` , 1 A line is perpendicular to `x+2y+2z=0` and passes through (0,10). The perpendicular distance of this line from the origin is , `(sqrt(5))/3`

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
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  2. If f(x)=cos^2x+s e c^2x ,then

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  3. Match the statements/expressions given in Column I with the values giv...

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  4. prove that sintheta.sec3theta+sin3theta.sec3^2theta+sin3^2theta.sec3^3...

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  5. Solve 4cot2theta=cot^2theta-tan^2theta

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  6. Find the range of f(x)=sin^2x-3sinx+2

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  7. In a triangle DeltaXYZ, let a,b and c be the lengths of the sides opp...

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  8. Prove that (cos10^0+sin10^0)/(cos10^0-sin 10^0)=tan55^0

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  9. Find the range of f(x)=1/(4cosx-3)dot

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  10. Find the general solutions of: 2^(1 + abscosx + abs(cosx)^2 + abs(co...

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  11. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

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  12. If in triangle A B C ,/C=45^0 then find the range of the values of sin...

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  13. Solve sqrt(3)costheta+sintheta=sqrt(2)

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  14. Find the range of f(x)=1/(5sinx-6)

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  15. Two parallel chords of a circle of radius 2 are at a distance. sqrt3+1...

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  16. Prove that: sum(k=1)^(100)sin(k x)cos(101-k)x=50"sin"(101 x)

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  17. The expression 3{sin^4((3pi/2)-alpha)+sin^4(3pi-alpha)} -2{sin^6(pi/2+...

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  18. Solve sqrt(3)costheta-3sintheta=4sin2thetacos3thetadot

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  19. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

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  20. If alpha,beta,gamma, in (0,pi/2) , then prove that (sin(alpha+beta+gam...

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