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If cosectheta-sintheta=mandsectheta-cost...

If `cosectheta-sintheta=mandsectheta-costheta=n`, then `(m^(2)n)^((2)/(3))+(mn^(2))^((2)/(3))=?`

A

1

B

`-1`

C

`-2`

D

2

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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. (1-tan A)/(1+tan A)= (tan3^@ tan15^@ tan30^@ tan75^@ tan87^@)/(tan27^@...

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  2. If (1+sinx)/(cosx)+(cosx)/(1+sinx)=4, then find x.

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  3. If cosectheta-sintheta=mandsectheta-costheta=n, then (m^(2)n)^((2)/(3)...

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  4. If sinA+sinB=C,&cosA+cosB=D, then sin(A+B)=?

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  5. If sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(5)), where A and B are positiv...

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  6. cos^(2)48^(@)-sin^(2)12^(@)=?

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  7. sin((pi)/(10))sin((3pi)/(10))=?

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  8. If tanA-tanB=x and cotB-cotA=y, then cot(A-B)=?

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  9. tan((pi)/(4)+theta)-tan((pi)/(4)-theta)=?

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  10. cot((pi)/(4)+theta)cot((pi)/(4)-theta)=?

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  11. cos24^(@)+cos55^(@)+cos125^(@)+cos204^(@)+cos300^(@)=?

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  12. (2sinthetatantheta(1-tantheta)+2sinthetasec^(2)theta)/((1+tantheta)^(2...

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  13. If mtan(theta-30^(@))=ntan(theta+120^(@)), then (m+n)/(m-n)=?

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  14. cosA+cos(240^(@)+A)+cos(240^(@)-A)=?

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  15. 1+cos56^(@)+cos58^(@)-cos66^(@)=?

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  16. If A+B=225^(@), then (tanA)/(1-tanA).(tanB)/(1-tanB)=?

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  17. If tantheta=(xsinphi)/(1-xcosphi)&tanphi=(ysintheta)/(1-ycostheta), th...

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  18. If tanx=(b)/(a), then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)...

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  19. If cos(A+B)=alphacosAcosB+betasinAsinB, then (alpha,beta)=?

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  20. tanalpha+2tan2alpha+4tan4alpha+8cot8alpha=?

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