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If (ax)/(costheta)+(by)/(sintheta)=a^2-b...

If `(ax)/(costheta)+(by)/(sintheta)=a^2-b^2` , and `(axsintheta)/(cos^2theta)-(bycostheta)/(sin^2theta)=0`, prove that `(ax)^(2/3)+(by)^(2/3)=(a^2-b^2)^(2/3)`

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove the following identity: (costheta)/(1-sintheta)=(1+costheta+sint...

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  2. Prove the following identity: (tan^3theta)/(1+tan^2theta)+(cot^3theta)...

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  3. If (ax)/(costheta)+(by)/(sintheta)=a^2-b^2 , and (axsintheta)/(cos^2th...

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  4. Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2t...

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  5. Prove the following identity: (1+t a nalphat a nbeta)^2+(tanalpha-t a ...

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  6. Prove the following identity: ((1+cottheta+t a ntheta)(sintheta-costhe...

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  7. Prove the following identity: (2sinthetacostheta-costheta)/(1-sintheta...

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  8. Prove the following identity: costheta(t a ntheta+2)(2t a ntheta+1)=2s...

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  9. If sintheta=(a^2-b^2)/(a^2+b^2), find the value of t a ntheta,\ s e ct...

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  10. If t a ntheta=a/b ,\ show that (a\ sintheta-b costheta)/(\ a\ sinthet...

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  11. If cosectheta-sintheta=a^3, sectheta-costheta=b^3, then prove that a^...

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  12. If sintheta+costheta=m , then prove that sin^6theta+cos^6theta=(4-3(m^...

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  13. Find the values of cos theta and tan theta when sin theta =-3/5 and pi...

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  14. If cos theta= -1/2 and pi < theta < (3pi)/2 then find the value of 4ta...

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  15. Prove that: sqrt((1-sintheta)/(1+sintheta))= sec theta- tan theta when...

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  16. Find the values of the other five trigonometric functions I each of th...

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  17. Find the values of the other five trigonometric functions in each of t...

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  18. Find the values of the other five trigonometric functions in each of ...

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  19. Find the values of the other five trigonometric functions in each of t...

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  20. If sintheta=(12)/(13)a n d\ theta lies in the second quadrant, find th...

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