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If sinA+cosecA=3, then find the value of...

If `sinA+cosecA=3`, then find the value of `(sin^(4)A+1)/(sin^(2)A)`.

A

1

B

0

C

7

D

11

Text Solution

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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. If 3costheta-sintheta=(1)/(sqrt(2)),(0^(@)ltthetalt90^(@)), then the v...

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  2. If tantheta-cottheta=0(0^(@)ltthetalt90^(@)), then the value of sinthe...

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  3. If sinA+cosecA=3, then find the value of (sin^(4)A+1)/(sin^(2)A).

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  4. cos7^(@)cos23^(@)cos45^(@)cosec83^(@)cosec67^(@)=?

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  5. If (tantheta+cottheta)/(tantheta-cottheta)=2,(0^(@)lethetale90^(@)), t...

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  6. If sinx+cosx=c, then sin^(6)x+cos^(6)x is equal to

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  7. (1-sinAcosA)/(cosA(secA-cosecA)).(sin^(2)A-cos^(2)A)/(sin^(3)A+cos^(3)...

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  8. The minimum value of 12sin^(2)theta+23cos^(2)theta is

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  9. Find the minimum value of (sintheta+cosectheta)^(2)+(costheta+sectheta...

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  10. Find the minimum and maximum value of 4tan^(2)theta+9cos^(2)theta.

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  11. Find the minimum and maximum value of 7cosalpha+24sinbeta.

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  12. Find the minimum and maximum value of 5sin^(2)theta+10cos^(2)theta+12s...

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  13. If A-B=(pi)/(4), then (1+tanA)(1-tanB)=?

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  14. If A+B=135^(@), then (1+cotA)(1+cotB)=?

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  15. If sectheta=x+(1)/(4x), then find the value of sectheta+tantheta.

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  16. If "cosec"theta=x+(1)/(4x), then find the value of "cosec"theta+cot t...

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  17. If tantheta+sintheta=m and tan theta-sin theta=n, then find the value ...

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  18. If cot theta+costheta=m and cot theta-costheta=n, then find the value ...

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  19. If tantheta+sintheta=mandtantheta-sintheta=n, then find the value of s...

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  20. If cosectheta-sintheta=landsectheta-costheta=m, then l^(2)m^(2)(l^(2)+...

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