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1/(cosectheta+cottheta)-1/sintheta=1/sin...

`1/(cosectheta+cottheta)-1/sintheta=1/sintheta-1/(cosectheta-cottheta)` .

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

Prove the following : (sintheta-costheta+1)/(sintheta+costheta-1)=(1)/(sectheta-tantheta) .

Prove that : (1+costheta-sin^2 theta)/(sintheta(1+costheta))=cottheta .

Prove that (sintheta)/(cottheta+cosectheta)=2+sintheta/(cottheta-cosectheta) .

Prove that sintheta/(1-costheta)=cosectheta+cottheta .

sqrt((cosectheta+1)/(cosectheta-1))=costheta/(1-sintheta)=(cottheta)/(cosectheta-1) .

Prove that (1-costheta)/(1+costheta)=(cosectheta-cottheta)^2 .

Prove that (1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2 .

Prove that (cosectheta+cottheta)/(cosectheta-cottheta) =((1+costheta)/sintheta)^2 .

(1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/costheta .

MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. Prove that (sintheta)/(1+costheta)+(1+costheta)/sintheta=2cosectheta .

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  2. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/cosA .

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  3. 1/(cosectheta+cottheta)-1/sintheta=1/sintheta-1/(cosectheta-cottheta) ...

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  4. tantheta/(1-cottheta)+cottheta/(1-tantheta)=1+tantheta+cottheta .

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  5. (cosecA)/(cosecA-1)+(cosecA)/(cosecA+1)=2+2tan^2A .

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  6. (tanA-tanB)^2+(1+tanAtanB)^2=sec^2Asec^2B .

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  7. If cosalpha/cosbeta=m and cosalpha/sinbeta=n then Show that (m^2+n^2) ...

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  8. If costheta+sintheta=sqrt2costheta ,then show that costheta-sintheta=...

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  9. If tantheta+sintheta=m,tantheta-sintheta=n , then show that m^2-n^2=4s...

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  10. If sectheta= x+1/(4x) , then prove that sectheta+tantheta=2x or 1/(2x)...

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  11. IF sintheta+sin^2theta=1 prove that cos^2theta+cos^4theta=1 .

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  12. Evaluate without using trigonometric tables : cotthetatan(90^@-theta)-...

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  13. Prove that : (1+costheta-sin^2 theta)/(sintheta(1+costheta))=cottheta ...

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  14. If sectheta+tantheta=p , prove that sintheta=(p^2-1)/(p^2+1) .

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  15. If cosectheta-sintheta=l, and sectheta-costheta=m , show that l^2m^2(l...

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  16. Prove that (cosectheta+cottheta)/(cosectheta-cottheta) =((1+costheta)/...

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  17. Prove that (1+tan^2 theta)/(1+cot^2 theta)=((1-tantheta)/(1-cottheta)...

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  18. Prove that cosA/(1-tanA)-(sin^2A)/(cosA-sinA)== sin A + cos A. .

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  19. Prove that sec A (1 -sin A) (sec A + tan A) =1.

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

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