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The greatest value of `sin^4theta+cos^4thetai s` `1/2` (b) 1 (c) 2 (d) 3

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let I be the incetre of ΔABC having inradius r. Al, BI and Ci intersec...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If in Delta ABC, the distance of the vertices from the orthocenter are...

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  16. Let 2sin^2x+3sinx-2>0a n dx^2-x-2<0(x is measured in radians). Then x ...

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  17. Show that cos^2theta+cos^2(alpha+theta)-2cosalphacostheta"cos"(alpha+t...

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  18. Prove that the distance between the circumcenter and the incenter of ...

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  19. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

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  20. Range of f(theta)=cos^2theta(cos^2theta+1)+2sin^2theta is

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