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Prove each of the following identities :...

Prove each of the following identities :
`(1)/((1+ sin theta)) + (1)/((1- sin theta)) = 2 sec^(2) theta `

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CHETAN PUBLICATION-TRIGONOMETRY-PROBLEMS FOR PRACTICE
  1. Simplify : sin theta (cosec theta - sin theta)

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  2. Prove: cos^2 theta + 1/(1 + cot^2 theta) = 1

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

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  4. Prove: (1 + tan^2 theta)(1+sin theta)(1-sin theta) = 1

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  5. Prove: (1 + cot^2 theta) (1 + cos theta)(1-cos theta) = 1

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  6. Prove the following trigonometric identities : cot^2theta-1/(sin^2t...

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  7. Prove: sin^4 theta - cos^4theta = 1 - 2cos^2 theta

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  8. Prove: sec theta + tan theta = 1/(sec theta - tan theta)

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

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  10. Prove: (tan^3 A +1 )/(tan A +1) = sec^2A -tan A

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  11. Prove: (sin theta + tan theta)/(cos theta) = tan theta (1 + sec thet...

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  12. Prove: cosec^2A -cos^2 A =(sec^2A -sin^2A)/(tan^2 A)

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  13. Prove: (1/(cos theta) + 1/(cot theta))xx (sectheta - tan theta) = 1

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  14. Prove: (cos^2 A + tan^2 A -1)/(sin^2 A ) = tan^2 A

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  15. Prove that: (tanA+ sec A-1)/(tan A-secA+1)=(cosA)/(1-sinA)

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  16. Prove: (cos^2theta)/(1-tan theta) + (sin^3 theta)/(sin theta - cos t...

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  17. A person is standing at a distance of 80m from the church looking at i...

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

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  19. A building is 200sqrt3 meters high. Find the angle of elevation if its...

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  20. A straight highway leads to the foot of a tower of height 50 m. From t...

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