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Prove that 2tan^(-1)(1/5)+sec^(-1)((5s...

Prove that `2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)(1/8)=pi/4dot`

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Prove that: 2(tan^(-1)1)/(5)+(sec^(-1)(5sqrt(2)))/(7)+2tan^(-1)(1)/(8)=(pi)/(4)

Prove the following: 4tan^(-1)(1)/(5)-tan^(-1)(1)/(70)+tan^(-1)(1)/(99)=(pi)/(4)2tan^(-1)(1)/(5)+sec^(-1)(5sqrt(2))/(7)+2tan^(-1)(1)/(8)=(pi)/(4)

Prove that tan^(-1) x =sec^(-1) sqrt(1+x^2)

2tan^(-1)((1)/(5))+tan^(-1)((1)/(7))+2tan^(-1)((1)/(8))=

Prove that : tan^(-1)((1)/(2))+tan^(-1)((1)/(5))+tan^(-1)((1)/(8))=(pi)/(4)

Prove that tan ^(-1)(1/5) + tan^(-1)(1/7) +tan^(-1)(1/3)+ tan ^(-1)(1/8) = pi/4

Prove that 2 tan^(-1) ((1)/(8)) + tan^(-1) ((1)/(7)) + 2 tan^(-1) ((1)/(5)) = (pi)/(4)

Prove that : tan^(-1)(1)/(5)+tan^(-1)(1)/(7)+tan^(-1)(1)/(3)+tan^(-1)(1)/(8)=(pi)/(4)

Prove that tan^ (-1)( 1/3) +tan^(-1)( 1/5) + tan^(-1) (1/7 )+tan^(-1) (1/8) = pi/4

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Show that the semi-vertical angle of the cone of the maximum volume an...

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  2. Prove that cot^(-1)((sqrt(1+sin)+sqrt(1-sinx))/(1sqrt(1+sin)-sqrt(1...

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  3. Prove that 2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)(1/8)=pi/4...

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  4. Prove that, for any three vectors vec a , vec b , vec c [ vec a+ v...

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  5. Vector vec a , vec b and vec c are such that vec a+ vec b+ vec c...

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  6. The sum of the perimeters of a circle and a square is k , where k is s...

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  7. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(5-z)/6dot Als...

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  8. Solve for x: 2tan^(-1)(cosx)=tan^(-1)(2cos e cx)

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  9. Using differentials, find the approximate value of (3. 968)^(3/2)

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  10. Write the derivative of sinx w.r.t. cosxdot

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  11. Find : int(sin^2x-cos^2x)/(sin^2xcos^2x)dx

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  12. Write a vector in the direction of the vector hat i-2 hat j+2 hat k t...

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  13. Write the distance of a point P(a ,b ,c) from x-axis.

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  14. If, [xdoty4z+6x+y]=[8w0 6], write the value of (x+y+z)dot

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  15. Write the principal value of cos^(-1)[cos(680^@)]

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  16. Let R be the equivalence relation in the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5}...

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  17. Write a x2x matrix which is both symmetric and skew-symmetric.

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  18. Write the projection of the vector 2 hat i- hat j+ hat k on the vector...

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  19. int[x+3]/sqrt[5-4x-x^2].dx

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  20. Evaluate : int0^(pi/2)x^2sinxdx

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