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In triangle ABC , prove that (b+c)cos A ...

In `triangle ABC` , prove that `(b+c)cos A +(c+a)cos B +(a+b)cos C=a+b+c`.

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-TRIGONOMETRIC FUNCTIONS -Examples for Practise
  1. In triangle ABC , prove that (1) a=b cos C+c cos B (2) b=a cos C+c cos...

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  2. In triangle ABC, prove that 2(bc cos A +ac cos B +ab cos C)=a^2+b&2+c^...

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  3. In triangle ABC , prove that (b+c)cos A +(c+a)cos B +(a+b)cos C=a+b+c.

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  4. In a A B C ,\ ifsin^2A+sin^2B=sin^2C , show that the triangle is righ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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