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Prove that cos^2A-sin^2A = (1-tan^2A)/(1...

Prove that `cos^2A-sin^2A = (1-tan^2A)/(1+tan^2A)`.

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UNITED BOOK HOUSE-SOLPARA HIGH SCHOOL-EXERCISE
  1. Two chords AB and AC of a circle are mutually perpendicular to each ot...

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  2. Two tangents to a circle at A and B intersect at a point P. If angleAP...

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  3. Prove that cos^2A-sin^2A = (1-tan^2A)/(1+tan^2A).

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  4. If r cos theta = 3 and r sin theta = sqrt3 then find the value of r a...

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  5. The numerical values of volume and total surface is same of a hemisph...

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  6. Length of diagonal of a cube is 6sqrt3 cm. Calculate the volume of the...

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  7. If ui = (xi - 35)/(10), sumfiui =30 and sumfi = 60, then determine the...

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  8. The simple interest and compound interest of some amount of money in 2...

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  9. In a business A invests Rs 12,00. After some days B joins the busines...

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  10. Solve: x/(x+1)+(x+1)/x= 2 1/12(x!=0,-1)

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  11. If the difference between a proper fraction and its reciprocal is 9/20...

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  12. If x= (2sqrt(15))/(sqrt5+sqrt3), find the value of (x+sqrt3)/(x-sqrt3)...

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  13. Three variable x,y,z such that y+z-x is a constant and if (z+x-y)(x+y-...

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  14. Find the area of a quadrant of a circle whose circumference is 22 cm.

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  15. If a,b,c,d are in continued proportion then show that (b-c)^2+(c-a)^2+...

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

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  17. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  18. Prove that two equal chords are equidistant from the centre of the cir...

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  19. Prove that cyclic trapezium is isoscles trapezium and the length of it...

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  20. Draw a traingle ABC whose BC = 6cm, CA = 5.5 cm and AB = 4.5. cm. Draw...

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