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If x=asintheta and y=bcostheta , what is...

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

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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Write the value of sinAcos(90o-A)+cosAsin(90o-A) .

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

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

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

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

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

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

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

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  9. If cosA=7/(25) , find the value of tanA+cotA .

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  10. If sintheta=1/3 , then find the value of 2cot^2theta+2 .

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  11. If costheta=3/4 , then find the value of 9tan^2theta+9 .

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  12. If sec^2theta(1+sintheta)(1-sintheta)=k , then find the value of k ...

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  13. If cos e c^2theta(1+costheta)(1-costheta)=lambda , then find the va...

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  14. If sin^2thetacos^2theta(1+tan^2theta)(1+cot^2theta)=lambda , then find...

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

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

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

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

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

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

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