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The expression cos3theta+sin3theta+(2sin...

The expression `cos3theta+sin3theta+(2sin2theta-3)(sintheta-costheta)` is positive for all `theta` in `(a) (2npi-(3pi)/4,2npi+pi/4),n in Z` `(b) (2npi-pi/4,2npi+pi/6),n in Z` `(c) (2npi-pi/3,2npi+pi/3),n in Z` `(d) (2npi-pi/4,2npi+(3pi)/4),n in Z`

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
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  2. If x , y , z are in A.P., then (sinx-sinz)/(cosz-cosx) is equal to

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  3. The expression cos3theta+sin3theta+(2sin2theta-3)(sintheta-costheta) i...

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  4. There exists a triangle A B C satisfying the conditions (A) bsinA = ...

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  8. Match the statements/expressions in Column I with the statements/ex...

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  10. Which of the following expresses the circumference of a circle inscr...

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  11. Match the statement/expressions in Column I with the statements/expres...

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  12. If (x-a)costheta+ysintheta=(x-a)cosphi+ysinphi=a and tan(theta/2)-tan(...

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  13. Prove that (b + c) cos A + (c + a) cos B + (a + b) cos C = 2s

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  14. If p=sin(A-B)sin(C-D),q=sin(B-C)sin(A-D), r=sin(C-A)sin(B-D) then (...

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  15. Let varphi,phi in [0,2pi] be such that 2costheta(1-sinphi)=sin^2theta(...

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  16. If cos(A/2)=sqrt((b+c)/(2c)) , then prove that a^2+b^2=c^2dot

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  18. For 0ltthetaltpi/2 the solution of underset (m=1)overset6sumcosec(thet...

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  19. In A B C ,if a=10 and bcotB+ c cotC=2(r+R) then the maximum area of ...

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