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If cos e c\ theta=2x and cottheta=2/x , ...

If `cos e c\ theta=2x` and `cottheta=2/x` , find the value of `2(x^2-1/(x^2))`

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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. If sin^2thetacos^2theta(1+tan^2theta)(1+cot^2theta)=lambda , then find...

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  2. If 5x=sectheta and 5/x=tantheta , find the value of 5(x^2-1/(x^2)) ...

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  3. If cos e c\ theta=2x and cottheta=2/x , find the value of 2(x^2-1/(...

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  4. If sectheta+tantheta=x , then sectheta= (a)(x^2+1)/x (b) (x^2+1)/...

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  5. If sectheta+tantheta=x , then tantheta= (x^2+1)/x (b) (x^2-1)/x ...

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  6. sqrt((1+sinθ)/(1−sinθ) is equal to (a)secθ+tanθ (b)...

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  7. The value of sqrt((1+costheta)/(1-costheta)) is (a)cottheta-cos e...

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  8. sec^4 A− sec^ 2 A is equal to (a)tan 2 A− tan ...

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  9. cos^4A-sin^4A is equal to 2cos^2A+1 (b) 2cos^2A-1 (c) 2sin^2A-1 ...

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  10. (sintheta)/(1+costheta) is equal to (1+costheta)/(sintheta) (b) (1-...

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  11. (sintheta)/(1-cottheta)+(costheta)/(1-tantheta) is equal to (a) 0 (b) ...

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  12. The value of (1+cottheta-cos e c\ theta)(1+tantheta+sectheta) is (a...

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  13. (tantheta)/(sectheta-1)+(tantheta)/(sectheta+1) is equal to 2tanthet...

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  14. (cos e c\ theta-sintheta)(sectheta-costheta)(tantheta+cottheta) is equ...

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  15. If x=acostheta and y=bsintheta , then b^2x^2+a^2y^2= (a)a^2b^2 (b) a ...

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  16. If x=asectheta and y=btantheta , then b^2x^2-a^2y^2= (a)a b (b) ...

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  17. (cottheta)/(cottheta-cot3theta) + tantheta/(tantheta-tan3theta) is equ...

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  18. 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to (a)0 (...

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  19. If acostheta+bsintheta=4 and asintheta-bcostheta=3 , then a^2+b^2 = (a...

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  20. If acottheta+b"c o s e c"theta=p and bcottheta+a"c o s e c"theta=q , t...

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