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

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

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AGRAWAL PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS-EXAMPLE
  1. A player sitting on the top of a tower of height 20 m observes the ang...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The angle of elevation of the top of a tower from a certain point is 3...

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  18. A straight highway leads to the foot of a tower. A man standing at the...

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  19. The angle of elevation of the top of a building from the foot of a tow...

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  20. If 1 + sin^2 theta = 3 sin theta cos theta, then prove that tan theta ...

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