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In a "DeltaA B C prove that tan(("A"+"B"...

In a `"DeltaA B C` prove that `tan(("A"+"B")/2)=cot("C"/2)`

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In a DeltaA B C prove that cos ((A+B)/2)=sin (C/2).

In a DeltaA B C prove that cos(A+B)+cos C=0.

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If A ,\ B ,\ C are the interior angles of a triangle A B C , prove that tan((C+A)/2)=cotB/2 (ii) sin((B+C)/2)=cosA/2

In any DeltaABC , prove that (i) tan""(B-C)/2=(b-c)/(b+c)cot""A/2 . (ii) If angleB=90^(@) , prove that tan(A/2)=sqrt(((b-c)/(b+c))) . (iii) If angleC=90^(@) , prove that tan((A−B)/2)/tan((A+B)/2)=(a-b)/(a+b) .

In any DeltaABC , prove that cot (A/2) + cot (B/2) + cot (C/2) = (a+b+c)/(b+c-a) cot (A/2)

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. In a DeltaA B C prove that cos(A+B)+cos C=0.

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  2. In a DeltaA B C prove that cos ((A+B)/2)=sin (C/2).

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  3. In a "DeltaA B C prove that tan(("A"+"B")/2)=cot("C"/2)

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  4. If A ,\ B ,\ C ,\ D be the angles of a cyclic quadrilateral, taken in ...

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  5. Find x from the following equation: cos e c(90^0+theta)+x costhetacot(...

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  6. Find x from the following equation: xcot(90^0+theta)+tan(90^0+theta)si...

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  7. Prove that: t a n 720^0-cos 270^0-sin 150^0cos 120^0=1/4

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  8. Prove that: sin 780^0sin 480^0+cos 120^0sin 150^0=1/2

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  9. Prove that: sin780^0sin 120^0+cos 240^0sin390^0=1/2

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  10. Prove that: sin600^0cos 390^0+cos 480^0sin 150^0=-1

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  11. Prove that : tan 225^@ cot 405^@+ tan 765^@ cot 675^@=0

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  12. Write the maximum and minimum values of cos(cosx)

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  13. Write the maximum and minimum values of sinx dot

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  14. Write the maximum value of sin(cosx)dot

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  15. If sin x=cos^2x ,\ then write the value of cos^2x\ (1+cos^2x)dot

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  16. If sin x+cosec\ x=2, then write the value of sin^n x+cos e c^n xdot

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  17. If sintheta1+sintheta2+sintheta3=3, then costheta1+costheta2+costheta3...

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  18. Write the value of sin 10^0+sin 20^0+sin 30^0+....+sin 360^@

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  19. A circular wire of radius 15cm is cut and bent so as to lie along the ...

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  20. The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1 is

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