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If 2b=a+c, then prove that 3tan.(A)/(2)....

If `2b=a+c`, then prove that `3tan.(A)/(2).tan.(C)/(2)=1`.

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-TRIGONOMETRIC FUNCTIONS -Examples for Practise
  1. In triangle ABC, prove that b^2sin2C+c^2sin2B=2bcsinA.

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  2. cos^2((B-C)/2)/((b+c)^2)+sin^2((B-C)/2)/((b-c)^2)=1/(a^2)

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  3. If 2b=a+c, then prove that 3tan.(A)/(2).tan.(C)/(2)=1.

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  4. In any triangle ABC, prove that a(cosB+cot(A/2).sinB)=b+c.

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  5. In any triangle ABC, prove that a sin A-b sin B -=c sin (A-B).

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  6. In triangle ABC, if angle C=(pi)/(2) , then prove sin(A-B)=(a^2-b^2)/(...

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  7. In a triangle A B C , if acosA=bcosB , show that the triangle is eithe...

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  8. In a triangle ABC, prove that cot(A/2)+cot(B/2)+cot(C/2)=((a+b+c)/(b+...

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  9. In traingle ABC , prove that cos ((A-B)/(2))=((a+b)/(c)sin.(C)/(2).

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  10. Find the principal of : (1) sin ^(-1)((1)/(2)) (2) tan^(-1)(-sqrt(3)...

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  11. Find the values of : (1) cos^(-1)((1)/(2))+tan^(-1)((1)/sqrt(3)) (...

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  12. Find the value of : (1) sin^(-1)(sin.(5pi)/(6)) (2) cos^(-1)(cos.(...

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  13. Show that tan^(-1)[(cosx+sinx)/(cosx-sinx)]=(pi)/(4)+x.

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  14. सिद्ध कीजिए कि tan^(-1)""(1)/(2)+tan^(-1)""(2)/(11)=tan^(-1)""(3)/(4)

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  15. If sin(sin^(-1)1/5+cos^(-1)x)=1, then find the value of xdot

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  16. Evaluate : tan^(-1)1+tan^(-1)2+tan^(-1)3.

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  17. Prove that : tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

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  18. Prove that sin^(- 1)(8/17)+sin^(- 1)(3/5)=sin^(- 1)(77/85)

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  19. Prove that:cos^(-1)(12)/(13)+sin^(-1)3/5=sin^(-1)(56)/(65)

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  20. Prove that:2sin^(-1)3/5=tan^(-1)(24)/7

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