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If f(x)=sin^6x+cos^6x , then range of f...

If `f(x)=sin^6x+cos^6x ,` then range of `f(x)` is

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The general solution of cosxcos6x=-1 is (a) x=(2n+1)pi,n in Z (b) x=...

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  2. In an acute angled triangle A B C , a semicircle with radius ra is con...

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  3. If f(x)=sin^6x+cos^6x , then range of f(x) is

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  4. Which of the following number(s) is/are rational? (a)sin15^0 (b) co...

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  5. The number of solutions of sum(r=1)^5cosrx=5 in the interval [0,2pi] i...

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  6. The minimum value of atan^2x+bcot^2x equals the maximum value of asin^...

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  7. Let I be the incetre of ΔABC having inradius r. Al, BI and Ci intersec...

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  8. Which of the following statements are always correct (where Q denotes ...

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  9. The greatest value of sin^4theta+cos^4thetai s 1/2 (b) 1 (c) 2 (d...

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  10. In A B C , the bisector of the angle A meets the side BC at D andthe ...

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  11. Let theta in [0,4pi] satisfy the equation (sintheta+2)(sintheta+3)(sin...

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  12. Prove that: (sin(B-C))/(cosBcosC)+(sin(C-A))/(cosCcosA)+(sin(A-B))/(co...

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  13. Given a right triangle with /A =90^@. Let M be the mid-point of BC. If...

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  14. If f(x)=cos^2theta+sec^2theta, then f(x)<1 (b) f(x)=1 2>f(x)>1 (d)...

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  15. If sinalphasinbeta-cosalphacosbeta+1=0, then prove that 1+cotalphatanb...

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  16. The number of values of x in the in interval [0,5pi] satisfying the eq...

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  17. The maximum value of the expression |sqrt(sin^2x+2a^2)-sqrt(2a^2-1-...

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  18. In A B C , the three bisectors of the angle A, B and C are extended t...

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  19. Let A , B , C be the three angles such that A+B+C=pi . If T a nAtanB...

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  20. The set of values of lambda in R such that sin^2theta+costheta=lambda...

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