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Prove that: (1 + cot theta - "cosec" the...

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

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AGRAWAL PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS-EXAMPLE
  1. Prove that: sqrt((sec theta-1)/(sec theta +1)) + sqrt((sec theta + 1)/...

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  2. Prove that (sin theta + cosec theta)^2 + (cos theta + sec theta)^2 = 7...

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  3. Prove that: (1 + cot theta - "cosec" theta) (1+ tan theta + sec theta)...

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  4. If 4 tan theta = 3, evaluate frac(4 sin theta - cos theta + 1)(4 sin t...

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  5. A player sitting on the top of a tower of height 20 m observes the ang...

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  6. Using the formula cos 2 theta = 2 cos^2 theta - 1, find the value of c...

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  7. If sinθ+ cosθ= sqrt 3, then prove tanθ + cotθ= 1.

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  8. Prove that following identity: (cos A)/(1 + sin A) + (1 + sin A)/(cos ...

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

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  10. If 2 sin^2 theta - cos^2 theta = 2, find the value of theta.

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  11. The shadow of a tower standing on a level plane is found to be 50 m lo...

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  12. From a window, 15 m high above the ground, the angles of elevation and...

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  13. A moving boat is observed from the top of a 150 m high cliff moving aw...

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  14. An observer 1.5 m tall is 20 sqrt 3 m away from a chimney. The angle o...

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  15. Two men on either side of a tower 75 m high observe the angle of eleva...

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  16. The angles of depression of the top and bottom of a 50 m high building...

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  17. A man standing on the deck of a ship, which is 10 m above water level,...

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  18. A statue 1.6 m tall, stands on the top of a pedestal. From a point on ...

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  19. The angle of elevation of an aeroplane from a point A on the ground is...

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  20. From the top of a 7 m building, the angle of elevation of a top of a c...

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