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Prove the following: sec^6 x - tan^6 x ...

Prove the following:
`sec^6 x - tan^6 x = 1 + 3sec^2 x xx tan^2x`

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TARGET PUBLICATION-TRIGONOMETRY -Problem set - 6
  1. 1 + tan^2 theta = ?

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  2. When we see at a higher level, from the horizontal line, angle formed ...

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  3. If sin theta=11/61, ffind the value of cos theta using trigonometric i...

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  4. If tan theta=2, find the values of other trigonometric ratios.

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

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  6. Prove that : sec theta (1 - sin theta ) (sec theta + tan theta ) = 1

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  7. Prove : (sec theta+tan theta)(1-sin theta)=cos theta.

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  8. Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)t...

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  9. Prove : cot^(2) theta-tan^(2)theta=cosec^(2)theta-sec^(2)theta

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  10. Prove that : tan^(4)theta + tan^(2)theta = sec^(4)theta - sec^(2) th...

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  11. Prove 1/(1+sintheta)+1/(1-sintheta) = 2 sec^2 theta

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

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  13. Prove that : (tan theta)/(sec theta + 1) = (sec theta - 1)/(tan thet...

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

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

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

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  17. From the top of a lighthouse , an observer looks at a ship and finds t...

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

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  19. A ladder on the platform of a firebrigade van can be elevated at an an...

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  20. While landing at an airport, a pilot made an angle of derpession of 20...

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