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In triangle ABC, prove that tan((C-A)/(2...

In `triangle ABC`, prove that `tan((C-A)/(2))=((c-a)/(c+a))cot(B)/(2)`.

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In any triangle ABC , prove that tan ((A-B)/(2))=((a-b)/(a+b))cot (C)/(2) .

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

If A,B,C are the interior angles of a triangle ABC, prove that tan((C+A)/(2))=(cot B)/(2)( ii) sin((B+C)/(2))=(cos A)/(2)

In triangle ABC,, prove that (tan(B-C))/(2),=[(b-c)/(b+c)](cot A)/(2)(tan(C-A))/(2),=[(c-a)/(c+a)](cot B)/(2)(tan(A-B))/(2),=[(a-b)/(a+b)](cot B)/(2)

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

If A,B,C are the interior angles of a triangle ABC, prove that (tan(B+C))/(2)=(cot A)/(2)

In any Delta ABC, prove that :tan((A)/(2)+B)=(c+b)/(c-b)tan((A)/(2))

In any triangle ABC, prove that: (b-c)cot(A)/(2)+(c-a)cot(B)/(2)+(a-b)cot(C)/(2)=0

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-TRIGONOMETRIC FUNCTIONS -Examples for Practise
  1. In a A B C ,\ ifsin^2A+sin^2B=sin^2C , show that the triangle is righ...

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  2. In triangle ABC, prove that a^2sin(B-C)=(b^2-c^2)sinA.

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  3. In triangle ABC, prove that tan((C-A)/(2))=((c-a)/(c+a))cot(B)/(2).

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  4. In triangle ABC , prove that (sin(A-B))/(sin(A+B))=(a^2-b^2)/(c^2).

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  5. In triangle ABC, prove that b^2sin2C+c^2sin2B=2bcsinA.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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