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Prove that cot70^@+4cos70^@=sqrt3...

Prove that `cot70^@+4cos70^@=sqrt3`

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UNITED BOOK HOUSE-TANTIA HIGH SCHOOL-EXERCISE
  1. Write down the power set of [phi]

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  2. A relation R defined on N.(the set of all naturals numbers)is defined ...

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  3. Prove that cot70^@+4cos70^@=sqrt3

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  4. Find the value of (1/(2sin10^@)-2sin70^@)

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  5. Express (sqrt3-i)in the modulus amplitude form.

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  6. If Snbe the sum of the n consecutive terms of an A.P,find the value of...

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  7. If ^9P5 + 5. ^9P4 = ^I0Pr, find r.

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  8. If alphaand beta be two roots of the equation (x-a)(x-b)=c then show t...

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  9. Find the point on the straight line 3x-4y=25,nearest to the origin .

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  10. Find the centre and the radius of the circle.2x^2+2y^2-4x+8y-4=0

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  11. If theta be a variable parameter find the curve whose parametric equat...

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  12. Find the area of greatest square that can be inscribed given straight ...

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  13. Evaluate :lim(xrarr1)(x+x^2+x^3+...+x^n-n)/(x-1)

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  14. If y=(1-x)(2-x)(3-x)…(n-x),find dy/dx

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  15. show that lim(nrarr0)(root(3)(n+1)-1)/n=1/3

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  16. For any two sets A,B ,prove that (AcapB)'=A'cupB'

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  17. If (cot(alpha-beta))/cotalpha+(cos^2gamma)/(cos^2alpha)=1show that tan...

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  18. If sinx-siny=a and cosx+cosy=b,prove that tan((x+y)/2)=+-sqrt((4-a^2-b...

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  19. Prove that sintheta/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(c...

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  20. If tan (theta/2)=tan^3 (phi/2)and tanphi=2tanalpha,then prove that the...

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