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Prove that tan 1^@ tan 2^@ tan 3^@.........

Prove that `tan 1^@ tan 2^@ tan 3^@........ tan 88^@tan89^@=1`

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UNITED BOOK HOUSE-HOWRAH ZILLA SCHOOL-EXERCISE
  1. Fill in the blanks If the ratio of principal and amount in 1 year is...

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  2. Fill in the blanks If 5+sqrtx = y+sqrt2 (where sqrtx is a irrational ...

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  3. Prove that tan 1^@ tan 2^@ tan 3^@........ tan 88^@tan89^@=1

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  4. Fill in the blanks If two circles of radii 5 cma and 3 cm in length a...

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  5. Fill in the blanks If the ratio of the volume of two sphere is 1:8, ...

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  6. Fill in the blanks Value of overset(3)underset(I = 1)sum 10i^3 is.

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  7. Write True or False If the amount (principal+compound interest) of R...

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  8. Write True or False If x alpha y then x^n alpha y^n.

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  9. Write True or False Mean number of the numbers 5,6,7,8,9,10,11,12,13...

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  10. Write True or False If tan35^@ tan 55^@ = sinA then A =45^@.

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  11. Write True or False If the radius of a right circular cylinder is d...

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  12. Write True or False Only one circle can be drawn which touches the a...

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  13. Find the difference betweeen compound interest and simple interest of ...

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  14. Find the nature of the roots of the equation 2x^2-sqrt3x+2=0.

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  15. If a alpha b and b alpha c, show that a^3+b^3+c^3 alpha 5 abc.

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  16. OA and OB are the radius of a circle with centre at O and angleAOB= 15...

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  17. The diagonals of a square ABCD intersect at O. If the length of each s...

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  18. ABCD is cyclic quadrilateral. Extended BA upto F. AE||CD and if angleA...

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  19. Find the value of 1/(1+sin^2 20^@)+1/(1+cosec^2 20^@).

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  20. Find the value of sin^6 alpha+ cos^6 alpha+ 2sin^2 alpha cos^2 alpha.

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