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Prove that sqrt( (1+costheta)/(1-costhet...

Prove that `sqrt( (1+costheta)/(1-costheta) )= cosectheta+cottheta.(0^@ < theta <90^@)`

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VGS PUBLICATION-BRILLIANT-TRIGONOMETRY-EXERCISE
  1. Show that cot theta +tan theta =sec theta cosec theta

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  2. Show that tan ^(2) theta +tan ^(4) theta =sec ^(4) theta -sec ^(2) th...

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  3. Prove that sqrt( (1+costheta)/(1-costheta) )= cosectheta+cottheta.(0^@...

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  4. Evaluate the following (1+tan theta +sec theta ) ( 1+cot theta -cos...

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  5. (sin theta + cos theta)^(2) + (sin theta - cos theta)^(2)=

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  6. (sec^(2) theta -1)(cosec^(2) theta-1)=

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  7. Show that (cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta ...

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  8. sqrt (( 1 + sin A ) /( 1 - sin A )) = sec A + tan A చూపండి.

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  9. Show that (1- tan ^(2) A ) /( cot ^(2) A-1) =tan ^(2) A

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  10. Show that 1/cos O/-cos O/ = tan O/ cdot sinO/(0^o < O/ <90^o)

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  11. Simplify sec A (1-sin A ) (secA+tan A)

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  12. Prove that ( sin A+ cosec A)^2+(cos A+sec A)^2=7+tan^2 A+ cot^2 A.

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  13. Simplify (1-cos theta ) (1+cos theta ) (1+ cot ^(2) theta) .

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  14. Simplify (1-cos theta ) (1+cos theta ) (1+ cot ^(2) theta) .

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  15. If sec theta +tan theta =p, then what is the value of sec theta -tan...

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  16. If cosec theta + cot theta =k , then prove that cos theta =(k^(2)-1)/(...

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  17. Prove that (cot theta -cos theta )/( cot theta +cos theta ) =(cos ec t...

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

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

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  20. Prove that ( 1+ sec A)/( sec A) =(sin ^(2) A)/( 1-cos A)

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