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If cottheta=(b)/(a),show that (asintheta...

If `cottheta=(b)/(a)`,show that `(asintheta-bcostheta)/(asintheta+bcostheta)=(a^(2)-b^(2))/(a^(2)+b^(2))`.

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NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Revision Exercise Short Answer Questions
  1. If costheta=(8)/(17),verify that (3-4sin^(2)theta)/(4cos^(2)theta-3)=(...

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  2. If sintheta=(3)/(5),verify that (tantheta)/(1+tan^(2)theta)=sinthetaco...

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  3. If cottheta=(b)/(a),show that (asintheta-bcostheta)/(asintheta+bcosthe...

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  4. find the value of sin60^@cos3 0^@+sin3 0^@cos6 0^@

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  5. Verify that : sin 60^@ = 2 sin 30^@ cos 30^@

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  6. If A=30^(@),verify that cos2A=cos^(2)A-sin^(2)A.

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  7. if A= 45^o then verify sin2A=2sinAcosA , cos2A=1-sin^2A

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  8. Using the formula cos A =sqrt((1+cos2A)/(2)), find the value of cos30^...

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  9. In the adjoining figure , DeltaABC is a right - angled triangle , righ...

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  10. If sin(A-B)=1/2,""""cos(A+B)=1/2, 0o<A+Blt=90o,""""A > B , find A and ...

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  11. Find the value of sin30^(@) geometrically.

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  12. Find the value of sin60^(@) geometrically.

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  13. Prove that sqrt(sec^(2)theta + cosec^(2)theta) = tantheta + cottheta.

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  14. Prove that : sqrt((1+costheta)/(1-costheta))="cosec"theta+cottheta

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  15. sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sintheta)) is equ...

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  16. Prove that : tan^(2)theta-sin^(2)theta=tan^(2)thetasin^(2)theta

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  17. Prove that : (tanA+sinA)/(tanA-sinA)=(secA+1)/(secA-1)

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  18. Prove that : sin^(2)Acos^(2)B-cos^(2)Asin^(2)B=sin^(2)A-sin^(2)B

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  19. Prove that : sin^(2)theta+cos^(4)theta=cos^(2)theta+sin^(4)theta

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  20. Prove that : sin^(2)theta+(1)/(1+tan^(2)theta)=1

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