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If sectheta= x+1/(4x) , then prove that ...

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

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MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. If costheta+sintheta=sqrt2costheta ,then show that costheta-sintheta=...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Prove that (1-tan^2theta)/(cot^2theta-1)=tan^2theta,thetane45^@ .

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  15. Prove that (sin^2A)/(cos^2A)+(cos^2A)/(sin^2A)=1/(sin^2Acos^2A)-2 .

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  16. Prove that (tantheta+sintheta)/(tantheta-sintheta)=(sectheta+1)/(secth...

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  17. Prove that ((1+sintheta)^2+(1-sintheta)^2)/(2cos^2theta)=(1+sin^2theta...

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  18. Prove the following identities, where the angles involved are acute an...

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

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  20. Prove that (1+sintheta)/costheta+costheta/(1+sintheta)=2sectheta .

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