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If tan A = 3/4, then prove that sin A co...

If tan A = `3/4`, then prove that sin A cos A = `12/25`

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AGRAWAL PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS-EXAMPLE
  1. Prove that: (sin^4 theta - cos^4 theta + 1)cosec^2 theta = 2.

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  2. Prove that:(2 cos^3 theta - cos theta)/(sin theta - 2sin^3 theta) = co...

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  3. If tan A = 3/4, then prove that sin A cos A = 12/25

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  4. (tan theta)/(1 - tan theta) - (cot theta)/(1 - cot theta) = (cos theta...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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