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Show that tan1^0tan2^0tan89^0=1...

Show that `tan1^0tan2^0tan89^0=1`

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The value of theta in (0,2pi) for which 2sin^2theta-5sintheta+2>0 is (...

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  2. In A B C , if cotA+cotB+cotC=0 then find the value of cosAcos BcosC

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  3. Show that tan1^0tan2^0tan89^0=1

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  4. In triangle ABC, the line joining the circumcenter and incenter is p...

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  5. The number of solutions of the pair of equations 2sin^2 theta - cos(2 ...

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  6. Given A=sin^2theta+cos^4theta, then for all real theta, (a)1lt=Alt...

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  7. If A ,B ,C ,D are angles of a cyclic quadrilateral, then prove that c...

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  8. The number of distinct real roots of |sinxcosxcosxcosxsinxcosxcosxcosx...

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  9. D , E ,a n dF are the middle points of the sides of the triangle A B C...

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  10. If cos(A-B)=3/5 and tan A tan B=2, then (a) cos Acos B=1/5 (b) sin A ...

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  11. The number of ordered pairs (α,β), where α,β∈(−π,π) satisfying cos (α−...

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  12. The base B C of A B C is fixed and the vertex A moves, satisfying the...

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  13. For 0 < varphigeqpi/2,ifx=sum(n=0)^oocos^(2n)varphi,y=sum(n=0)^oosin^...

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  14. In a right angled triangle, acute angle A and B satisfy tanA+tanB+tan^...

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  15. Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot

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  16. if 0ltalphaltbetaltgammaltpi/ 2,then prove that tanalpha lt (sinalpha+...

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  17. Given b=2,c=sqrt(3),/A=30^0 , then inradius of A B C is (sqrt(3)-1)/2...

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  18. If A,B,C are angles of a triangle, then 2sin(A/2)cosec (B/2)sin(C/2)-s...

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  19. Solve cos^(50)x-sin^(50)x=1

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  20. sqrt((1-sintheta)/(1+sintheta))={sectheta-tantheta , if -pi/2ltthetalt...

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