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If sinx+cosx=a, then (i) sin^(6)x+cos...

If `sinx+cosx=a`, then
(i) `sin^(6)x+cos^(6)x=.....`
(ii) `abs(sinx-cosx)=.....`

A

`(4-3(m^(2)-1)^(2))/(4)`

B

`(3+(m^(2)-1)^(2))/(4)`

C

`(4+3(m^(2)-1)^(2))/(4)`

D

None of these

Text Solution

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The correct Answer is:
a
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NAGEEN PRAKASHAN-TRIGNOMETRIC FUNCTIONS-EXERCISES 3Q
  1. If A=sin^(2)theta+cos^(4)theta, then for all real values of theta:

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  2. sqrt(3)" cosec "20^(@)-sec20^(2)=?

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  3. If cosx=tany,cosy=tanz and cosz=tanx, then sin^2x=?

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  4. 3(sintheta-costheta)^(4)+6(sintheta+costheta)^(2)+4(sin^(6)theta+cos^(...

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  5. If sinx+cosx=a, then (i) sin^(6)x+cos^(6)x=..... (ii) abs(sinx-...

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  6. If cosA+cosB=m and sinA+sinB=n then sin(A+B)=

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  7. The solution set of the equation 4 sintheta.costheta-2costheta-2sqrt(3...

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  8. Solutions of the equations (2cosx-1)(3cosx+4)=0 is [0,2pi] is:

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  9. If (sin(A+B))/(cos(A-B))=(1-m)/(1+m),then tan(pi/4-A)tan(pi/4-B)=?

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  10. If 4sin^(2)x+cos^(4)x=1, then one general value is:

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  11. If (2+sqrt(3))costheta=1-sintheta, then one general value is:

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  12. The general solution of equation 3 tan(theta - 15^o) = tan(theta+15^o)...

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  13. The solution of costheta.cos2theta.cos3theta=1/4,0 lt theta lt pi/4 is...

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  14. If sectheta-1=(sqrt(2)-1)tantheta, then general value of theta is:

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  15. If 4sinalphasin(x+alpha)sin(x-alpha)=sin3alpha, then general value of ...

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  16. The number of solutions of the equation sintheta+costheta=2 are:

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  17. If sintheta-3sin2theta+sin3theta=costheta-3cos2theta+cos3theta, then o...

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  18. If 3tan^(2)theta-2sintheta=0, then general value of theta is:

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  19. If costheta+cos3theta+cos5theta+cos7theta=0, then general value of the...

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  20. Maximum value of (3sintheta+4costheta) is:

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