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If acostheta+bsintheta=m and asintheta-b...

If `acostheta+bsintheta=m` and `asintheta-bcostheta=n ,` Prove that `a^2+b^2=m^2+n^2`

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i) If acostheta+bsintheta=m and asintheta-bcostheta=n , then prove that: a^(2)+b^(2)=m^(2)+n^(2)

If acostheta+b sintheta=x and asintheta-bcostheta=y prove that a^2+b^2=x^2+y^2

If acostheta+bsintheta=m and asintheta-bcostheta=n , then show that a^(2)+b^(2)=m^(2)+n^(2) .

If acostheta+bsintheta=m and asintheta-bcostheta=n , then a^2+b^2= (a) m^2-n^2 (b) m^2n^2 (c) n^2-m^2 (d) m^2+n^2

If cos e ctheta-sintheta=m and sectheta-costheta=n , prove that (m^(2)n)^(2/3)+(m n^2)^(2/3)=1

If acostheta+bsintheta=4 and asintheta-bcostheta=3 , then a^2+b^2 = (a) 7 (b) 12 (c) 25 (d) None of these

If acosheta+bsintheta=4 & asintheta - bcostheta= 3 then a^2+b^2

If tantheta+sintheta=m and tantheta-sintheta=n , then prove that: m^(2)-n^(2)=4sqrt(mn)

If x=acostheta-bsinthetaandy=asintheta+bcostheta , then show that : x^(2)+y^(2)=a^(2)+b^(2)

If tantheta +sintheta = m and tantheta-sintheta=n , then prove that m^(2)-n^(2)=4sinthetatantheta .

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Ifacos^3theta+3acosthetasin^2theta=m and asin^3theta+3acos^2thetasin^...

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  2. If 3sintheta+5costheta=5, then show that 5sintheta-3costheta=+-3.

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  3. If acostheta+bsintheta=m and asintheta-bcostheta=n , Prove that a^2...

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  4. If costheta+cos^2theta=1, Prove that: sin^(12)theta+3sin^(10)theta+3si...

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  5. If cottheta=15/8, then Evaluate ((2+2sintheta)(1-sintheta))/((1+costhe...

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  6. Prove the trigonometric identities: (tantheta)/(1-cottheta)+(cottheta)...

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  7. If sintheta+costheta=x , Prove that : sin^6theta+cos^6theta=(4-3(x^2-1...

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  8. Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(co...

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  9. Prove that (1-sintheta+costheta)^2=2(1+costheta)(1-sintheta)

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  10. Prove the following identities: (sinA+secA)^2+(cos"A"+"c o s e cA")^2=...

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  11. Prove the identity: (1+tanAtanB)^2+(tan"A"-tan"B")^2=sec^2Asec^2B

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  12. Prove the following identities: 2(sin^6theta+cos^6theta)-3(sin^4theta+...

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  13. Prove the following identities: tan^2A-tan^2B=(cos^2B-cos^2A)/(cos^2Bc...

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  14. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

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  15. If tantheta+sintheta=m and tantheta-sintheta=n , show that m^2-n^2= 4...

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  16. if (secA+tanA)(secB+tanB)(secC+tanC)=(secA-tanA)(secB-tanB) (secC-t...

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  17. Prove the following identities: (cosA)/(1-sinA)+(sinA)/(1-cosA)+1 = (...

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  18. If tan^2theta=1-a^2, prove thats e ctheta+tan^3thetacos e ctheta=(2-a^...

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  19. If a sectheta+bt a ntheta+c=0 and psectheta+qtantheta+r=0, prove that...

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

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