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Prove that tan54^@=(cos9^@+sin9^@)/(cos9...

Prove that `tan54^@=(cos9^@+sin9^@)/(cos9^@-sin9^@)`

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2014-EXERCISE
  1. If A={x:x=3n,n∈z)and B={x:x=6n,n∈z}.then find AcapBand AcupB

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  2. A =(1, 2, 3, 5) and B= {4, 6, 9). Define a relation R from A to B by R...

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  3. Prove that tan54^@=(cos9^@+sin9^@)/(cos9^@-sin9^@)

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  4. If tan15^@=x.then show that x^2+2sqrt3x-1=0

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  5. If omegais an imaginary cube root of unity then prove that (xomega^2+y...

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  6. If number of triangles joining angular points of a n-sided polygon be ...

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  7. Find the term independent of x in the expansion of (x-2/x^2)^15

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  8. Find the sum, if it exists ,of the following infinite G.P:1/3-2/9+4/27...

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  9. Find the area of the triangle formed by the staright line 2x-3y=6 with...

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  10. Find the coordinates of the point which divides the line segment joini...

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  11. Find the derivative of the function f(x)=2x^(2)+3x-5" at "x=-1. Also p...

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  12. if lim(xrarra)f(x)=lim(xrarra)g(x),then whether f(x)=g(x) is always tr...

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  13. If P(A)=2/3,P(B)=1/2,P(AcapB)=1/6,then find the value of P(AcapB')and ...

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  14. Find the mean deviation about the mean for the following data:39,51,59...

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  15. For any two sets A and B, A-(A-B) equals

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  16. If alphaand betaare positive acute angles and cos2alpha=(3cos2beta-1)/...

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  17. Solve for x:cos^3xsin3x+sin^3xcos3x=3/4

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  18. Prove that by using the principle of mathematical induction for all n...

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  19. If z=x+iy and |2z+1|=|z-2i|,then prove that 3(x^2+y^2)+4(x+y)=3

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  20. Out of 14 articles,10 are of same type and each of the remaining is of...

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