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

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

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

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

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Prove that (sin theta + cos theta )( cosec theta - sec theta ) = cosec theta. Sec theta -2 tan theta

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

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EDUCART PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS -SHORT ANSWER (SA-II) TYPE QUESTIONS
  1. An observer, 1.5m tall, is 28.5 m away from a tower 30m high. Deter...

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  2. In /\ABC, right angled at A, AC = 1.5 m, CB = 3 m and /ABC=theta find:...

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

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  4. Prove that sqrt[(1+sinA)/(1 - sinA)] = secA + tanA

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  5. Prove each of the following identities : (sin theta)/((1+ cos theta...

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  6. If sin theta+cos theta=sqrt(2) then prove that tan theta+cot theta=2

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  7. Prove that (cot theta + "cosec" theta -1 )/(cot theta - "cosec" thet...

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  8. Prove : 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0.

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  9. If sin theta+cos theta=sqrt3, then prove that tan theta+cot theta=1

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  10. Prove that : (sin^(4)theta- cos^(4) theta+ 1) "cosec"^(2)theta=2

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

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  12. If tanA=(3)/(4), then show that sin A cos A=(12)/(25)

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  13. Prove that: (tantheta/(1-tantheta))-(cottheta/(1-cottheta))=(costheta+...

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  14. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

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  15. Prove that: (tanA + tanB)/(cotA+cotB)=tanAtanB

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

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

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  18. Prove that (sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(...

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  19. Prove that: (1 + cot A - "cosec"A)(1 + tanA + secA) =2

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  20. If 4 tan theta = 3, evaluate (4 sin theta - cos theta +1)/(4 sin theta...

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