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Prove the following identity : (sin th...

Prove the following identity :
`(sin theta+ sec theta)^2 +(cos theta+ cosec theta)^2= (1+ sec theta cosec theta)^2` .

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Prove the following identity : sin theta cot theta+ sin theta cosec theta=1 + cos theta .

Prove the following identity : (sin theta)/(1-cos theta)= (1+cos theta)/(sin theta) .

Prove the following identity : (tan theta-cot theta)/ (sin theta cos theta)= sec^2 theta- cosec^2 theta .

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Prove the following identity : (1-sin theta)/(1+sin theta)= (sec theta-tan theta)^2 .

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove the following identity : (1 - tan x)^2+(1 -cot x)^2 = (sec x -...

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  2. Prove the following identity : (sec theta-cos theta) (cosec theta-si...

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  3. Prove the following identity : (sin theta+ sec theta)^2 +(cos theta+...

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  4. Prove the following identity : sqrt (sec^2 theta+ cosec^2 theta)= ta...

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  5. Prove the following identity : 1/(cosec theta- cot theta)-1/(sin the...

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  6. Prove the following identity : 1/(sec theta+tan theta) -1/(cos theta...

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  7. Prove the following identity : 1/(sec theta-tan theta)= (1+sin theta...

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  8. Prove the following identity : 1/(sec theta+tan theta)= (1-sin theta...

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  9. Prove the following identity : (cot theta+ cosec theta -1)/(cot thet...

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  10. Prove the following identity : (sin theta)/(cot theta+ cosec theta)=...

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  11. Prove the following identity : (sin A-sin B)/(cosA+ cosB)+ (cosA-cos...

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  12. Prove the following identity : (1+ cot A+tan A) (sin A-cos A) =(secA...

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  13. Eliminate theta between the equation : x= h+a cos theta, y=k+ b sin ...

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  14. Eliminate theta between the equation : x = sin theta + cos theta, y ...

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  15. Eliminate theta between the equation : x =a cos theta + b sin theta,...

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  16. Eliminate theta between the equation : x =a sec theta, y= b tan thet...

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  17. Eliminate theta between the equation : x =a sec^3 theta, y = b tan^3...

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  18. Eliminate A between the equation : sec A+ tan A=m, sec A- tanA =n.

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  19. Eliminate A between the equation : a cosec A +b cot A= x^2, b cosec ...

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  20. Eliminate A between the equation : p sec A+q tanA= x, p tan A+ q sec...

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