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If sqrt(3) tantheta=3sintheta, " prove t...

If `sqrt(3) tantheta=3sintheta, " prove that " (sin^(2)theta-cos^(2)theta)=(1)/(3).`

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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. If cottheta=sqrt(3) , find the value of (cos e c^2theta+cot^2theta)...

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  2. If 3costheta=1 , find the value of (6sin^2theta+tan^2theta)/(4costh...

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  3. If sqrt(3) tantheta=3sintheta, " prove that " (sin^(2)theta-cos^(2)the...

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  4. If cos e c\ theta=(13)/(12) , find the value of (2sintheta-3\ cos\ ...

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  5. If sintheta+costheta=sqrt(2)cos(90o-theta) , find cottheta .

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  6. Define an identity.

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  7. What is the value of (1-cos^2theta)cos e c^2theta ?

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  8. What is the value of (1+cot^2theta)sin^2theta ?

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  9. What is the value of sin^2theta+1/(1+tan^2theta) ?

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  10. If sectheta+tantheta=x , write the value of sectheta-tantheta in te...

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  11. If cos e ctheta-cottheta=alpha , write the value of cos e c\ theta+c...

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  12. Write the value of cos e c^2(90o-theta)-tan^2theta .

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  13. Write the value of sinAcos(90o-A)+cosAsin(90o-A) .

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  14. Write the value of cot^2theta-1/(sin^2theta) .

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  15. If x=asintheta and y=bcostheta , what is the value of b^2x^2+a^2y^2...

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  16. If sintheta=4/5 , what is the value of cottheta+cos e c\ theta ?

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  17. What is the value of 9cot^2theta-9cos e c^2theta ?

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  18. What is the value of 6tan^2theta-6/(cos^2theta) ?

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  19. What is the value of (tan^2theta-sec^2theta)/(cot^2theta-cos e c^2t...

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  20. What is the value of (1+tan^2theta)(1-sintheta)(1+s in\ theta) ?

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