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If cosectheta-sintheta=a^3, sectheta-cos...

If `cosectheta-sintheta=a^3, sectheta-costheta=b^3`, then prove that `a^2b^2(a^2+b^2)=1`

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If sintheta=(a^2-b^2)/(a^2+b^2), find the value of t a ntheta,\ s e ct...

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

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

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

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

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

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

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

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

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

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

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

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  13. If sintheta=3/5,tanphi=1/2 and pi/2ltthetaltpi phi<(3pi)/ 2="" ,="" fi...

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  14. If costheta=-3/5 and pilttheta<(3pi)/2 find the values of other five ...

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  15. Find the values of the following trigonometric ratio: sin315^0

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  16. Find the values of the following trigonometric ratio: cos210^0

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  17. Find the values of the following trigonometric ratio: "cos"(-480^0)

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  18. Find the values of the following trigonometric ratio: sin(-1125^@)

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  19. Prove that: cos510^0cos 330^0+sin 390^0cos 120^0=-1.

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  20. Prove that ("cos"(90^0+theta)"sec"(-theta)"tan"(180^0-theta))/("sec"(3...

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