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Prove that (sin theta + 1 + cos theta)(s...

Prove that `(sin theta + 1 + cos theta)(sin theta - 1 + cos theta).sec theta cosec theta`=2

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Prove that: (sin theta)/(1 - cos theta) + (tan theta)/(1 + cos theta) = cosec theta + cot theta + sec theta cosec theta - cosec theta

Prove that (sin theta - cos theta +1)/(sin theta + cos theta -1) = (1)/((sec theta - tan theta)).

Prove that: ((1+cot theta+ tan theta)(sin theta-cos theta))/(sec^3 theta-cosec^3 theta)=sin^2 theta cos^2 theta

(sin theta-cos theta + 1) / (sin theta + cos theta-1) = sec theta + tan theta

Prove that : (1+sin2 theta-cos 2theta)/(sin theta+cos theta)=2sin theta

Prove that (cos theta-sin theta+1)/(cos theta+sin theta-1)=csc theta+cot theta

Prove that quad (sin theta-cos theta+1)/(sin theta+cos theta-1)=(1)/(sec theta-tan theta) ,using the identity sec^(2)theta=1+tan^(2)theta

AGRAWAL PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS-EXAMPLE
  1. (tan theta)/(1 - tan theta) - (cot theta)/(1 - cot theta) = (cos theta...

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  2. If cos theta + sin theta = sqrt2cos theta," then " cos theta -sin thet...

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  3. Prove that (sin theta + 1 + cos theta)(sin theta - 1 + cos theta).sec ...

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  4. A ladder 15 metres long just reaches the top of a vertical wall. If th...

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  5. Prove that: sqrt((sec theta-1)/(sec theta +1)) + sqrt((sec theta + 1)/...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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