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

`(sec^(2) theta -1)(cosec^(2) theta-1)`=

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"cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (cot^(2) theta - tan^(2) theta ) (sec^(2) theta * "cosec"^(2) theta -1)=

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

If tan theta =(1)/(sqrt(7)) and theta is an acute angle , then ("cosec"^(2) theta - sec^(2) theta )/( "cosec"^(2) theta + sec^(2) theta =

If cot theta = sqrt(7) and theta does not lie the first quadrant , then ( " cosec"^(2) theta - sec^(2) theta )/( "cosec"^(2) theta + sec^(2) theta )=

sin^(4) theta + 2 sin^(2) theta (1-(1)/("cosec"^(2) theta ) )+ cos^(4) theta =

sec^2 theta + cosec^2 theta =…………

The number of solutions of sec^(2) theta + cosec^(2) theta + 2 cosec^(2) theta = 8, 0 le theta le pi//2 is

|(4 sin^(2)theta, cos^(2) theta),(3 sec^(2)theta,cosec^(2)theta)|=

Prove that 1+cot^(2) theta = cosec^(2) theta

VGS PUBLICATION-BRILLIANT-TRIGONOMETRY-EXERCISE
  1. Evaluate the following (1+tan theta +sec theta ) ( 1+cot theta -cos...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Prove that ((sec A -1))/( (sec A+1) ) =((1-cos A)/((1+cos A )))

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  20. tan^(2) theta - 1 / cos^(2) theta =-1 అని చూపండి.

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