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Prove that sqrt(sec^(2)theta + cosec^(2)...

Prove that `sqrt(sec^(2)theta + cosec^(2)theta) = tantheta + cottheta`.

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Prove that sqrt( sec^(2) theta + "cosec"^(2) theta )= tan theta + cot theta .

Prove: sqrt(sec^(2)theta+cosec^(2)theta)=tan theta+cot theta .

Prove that : sqrt((1-cos^(2)theta)sec^(2)theta)=tantheta

Prove that sec^(2) theta + cosec^(2) theta = sec^(2) theta * cosec^(2) theta

Prove that sec^(2) theta + "cosec"^(2) theta = sec^(2) theta "cosec"^(2) theta

Prove that: sec^(2)theta+csc^(2)theta>=4

Prove that: sec^(2)theta+"cosec"^(2)theta=sec^(2)thetaxx"cosec"^(2)theta.

Prove that: (1 + cot theta - "cosec" theta) (1+ tan theta + sec theta)=2

Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)theta

Prove that (cosec^(2)theta+sec^(2)theta)/(cosec^(2)theta-sec^(2)theta)=(1+tan^(2)theta)/(1-tan^(2)theta)

AGRAWAL PUBLICATION-SAMPLE PAPER 7-EXERCISE
  1. Find the greatest number that divides 45 and 240 completely.

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  2. If x=acos^(3)theta and y = bsin^(3)theta, prove that ((x)/(a))^(2//3)+...

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  3. Prove that sqrt(sec^(2)theta + cosec^(2)theta) = tantheta + cottheta.

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  4. The largest possible sphere is carved out of wooden solid cube of side...

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  5. A solid cuboid with dimensions 18 cm xx 12 cm xx 8 cm is melted and tu...

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  6. A line intersects the y-axis and x-axis at the points P and Q respecti...

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  7. A ladder 10m long reaches a window 8 m above the ground. Find the d...

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  8. Solve for x and y : x+(y)/(4)=11," "(5x)/(6)-(y)/(3)=7

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  9. A 2-digit number is such that the product of the digit is 20. If 9 is ...

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  10. triangle ABC with vertices A(0-2,0),B(2,0) and C(0,2) is similar to tr...

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  11. Prove that the length of the tangents drawn from an external point to ...

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  12. In the figure, PQ and RS are the common tangents to two circles inters...

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  13. A number x is selected from the numbers 1,2,3 and then a second number...

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  14. Find the value of : (5sin^(3)30^(@)+cos^(2)45^(@)-4tan^(2)30^(@))/(2...

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  15. The first and the last terms of an A.P. are 17 and 350 respectively. I...

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  16. Theorem 6.1 : If a line is drawn parallel to one side of a triangle to...

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  17. BL and CM are medians of a triangle ABC right angled at A. Prove that...

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  18. Write a prime number greater than 91 but less than 100.

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  19. Find a zero of the polynomial x^3 - 8

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  20. Write a quadratic polynomial whose sum of zeros is ( -1/4 ) and produc...

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