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Prove that sqrt((1+cos30^@)/(1-cos30^@))...

Prove that `sqrt((1+cos30^@)/(1-cos30^@))=sec 60^@+tan 60^@`.

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Prove that sqrt((1+cos30^(@))/(1-cos30^(@)))=sec 60^(@)+tan60^(@) .

Prove that sqrt((1+cos 390^(@))/(1-cos 30^@)) = tan 60^@ + sec 60^@

Prove that (1-tan^2 30^@)/(1+tan^2 30^@) = cos60^@

Prove that cos 60^(@)=cos^(2)30^(@)-sin^(2)30^(@) .

Prove that, (cos30^(@) - sin 20^(@))/(cos 40^(@) + cos20^(@)) = 4/sqrt3 cos40^(@) cos 80^(@)

Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-cos theta)/(1+cos theta))=2 " cosec"theta.

Prove that sin^2 30^@ + cos^2 30^@=1

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Prove that ((sin0^@+cos30^@)(sin30^@+tan45^@))/((tan30^@+cot60^@)(sec60^@-cosec90^@))=9/8 .

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UNITED BOOK HOUSE-SUJAPUR HIGH SCHOOL-EXERCISE
  1. If x+y alpha x-y show that x^3+y^3 alpha x^3-y^3.

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  2. If x^2/(by+cz)=y^2/(cz+ax)=z^2/(ax+by)=1 then show that a/(a+x)+b/(b+y...

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  3. If (7x-5y):(3x+4y) = 7:11 then show that (3x-2y): (3x+4y) = 137 : 473

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  4. Answer any one question : Prove that angles in the same segment of a c...

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  5. State and prove Pythagoras theorem.

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  6. ABCD is a cyclic quadrilateral. If AB = DC, then prove that AC= BD.

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  7. In a triangle PQR, anglePQR = 90^@ S is any point onQR. Prove that PS^...

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  8. Geometrically calculate the value of sqrt(23). (Only traces of constru...

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  9. Draw a triangle whose two side are 7.6 cm and 6 cm in length and the a...

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  10. The length of radius of a circle is 28 cm. Determine the circular val...

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  11. Prove that sqrt((1+cos30^@)/(1-cos30^@))=sec 60^@+tan 60^@.

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  12. If sin theta+ sin^2 theta = 1, prove that cos^2 theta+ cos^4 theta = ...

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  13. From the point on the top of a palace of 60 metres height, it is obser...

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  14. The height of two towers are 180 metres and 60 metres respectively. I...

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  15. A cuboidal tank is filled with diesel. That amount of diesel is poured...

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  16. How many marbles with lengths of 3.5 cm radius may be formed by meltin...

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  17. If two solid spheres with the radii of 1 cm and 6 cm lengths are melte...

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  18. Find the mode of the following frequency distribution table.

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  19. Find the median of the following data.

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  20. Draw an ogive (less than type) from the following frequency distributi...

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