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Prove the following : cot^2 theta - tan^...

Prove the following : `cot^2 theta - tan^2 theta` =` cosec^2 theta -sec^2 theta`

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BAL BHARTI-TRIGONOMETRY-Problem set 6
  1. If sin theta = 11/61 find the values of cos theta using trigonometric...

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  2. (1) If tan theta=2, find the values of other trigonometric ratios usin...

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  3. If sec theta = 13/12, find values of other trigonometric ratios.

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  4. Prove the following : (i) sec theta (1-sin theta) (sec theta + tan the...

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  5. Prove the following : (sec theta + tan theta) (1-sin theta) = cos thet...

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  6. Prove the following : sec^2 theta + cosec^2 theta = sec^2 theta times ...

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  7. Prove the following : cot^2 theta - tan^2 theta = cosec^2 theta -sec^2...

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  8. Prove the following :tan^4 theta + tan^2 theta = sec^4 theta -sec^2 th...

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  9. Prove that : (ii) 1/(1+ sin theta)+(1)/ (1-sin theta) = 2sec^2 theta

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  10. Prove the following : sec^6 x - tan^6 x = 1 + 3 sec^2 x times tan^2 x

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  11. Prove the following : (tan theta) / (sec theta + 1) = (sec theta - 1) ...

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  12. Prove the following : (tan^3 theta -1)/( tan theta-1) = sec^2 theta + ...

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  13. Prove the following : (sin theta -cos theta + 1)/(sin theta + cos thet...

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  14. A boy standing at a distance of 48 meters from a building observes the...

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  15. From the top of a lighthouse, an observer looks at a ship and finds th...

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  16. Two buildings are in front of each other on a road of width 15 meters....

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  17. A ladder on the platform of a fire brigade van can be elevated at an a...

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  18. From the top of a lighthouse, an observer looking at a ship makes an a...

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