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If x is any non-zero real number, show t...

If `x` is any non-zero real number, show that `costheta' a n d ' sintheta` can never equal to `x+1/x ,`

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If (sin^4theta)/a+(cos^4theta)/b=1/(a+b) , prove that (sin^8theta)/(a...

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  2. If (cos^4alpha)/(cos^2beta)+(sin^4alpha)/(sin^2beta)=1 prove that (i...

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  3. If x is any non-zero real number, show that costheta' a n d ' sinthet...

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  4. If A=cos^2theta+sin^4theta, prove that 3/4lt=Alt=1 for all values of...

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  5. If tantheta+sectheta=e^x then costheta equals

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  6. Prove that:sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta .

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  7. Prove the following identities: sin^8theta-cos^8theta=(sin^2theta-cos^...

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  8. Prove the following identities: cot^4theta+cot^2theta=cos e c^4theta-"...

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  9. Prove the following identities: 2sec^2theta-sec^4theta-2cos e c^2theta...

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  10. Prove the following identities: (sintheta+cos e ctheta)^2+(costheta+s...

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  11. Prove the following identity: (1+cottheta-cos e ctheta)(1+t a ntheta+s...

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  12. Prove the following identity: (t a ntheta+s e ctheta-1)/(t a ntheta-s ...

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

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

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  15. If tan theta +sin theta =m and tan theta -sin theta =n then prove m^2-...

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  16. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

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  17. Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

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  18. Prove the following identity: (cosectheta-sintheta)(s e ctheta-costhet...

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  19. Prove the following identity: cos e c\ theta(s e ctheta-1)-cottheta(1-...

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  20. Prove the following identity: (1-sin AcosA)/(cos A(s e c A-cosec A))do...

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