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For triangle ABC, show that "tan"(B+C)...

For triangle ABC, show that
`"tan"(B+C)/2="cot"A/2`

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For triangle ABC, show that "sin"(A+B)/2="cos"C/2

If A, B and C are interior angles of a triangle ABC, then show that "sin"((B+C)/2)=cosA/2 .

If A, B and C are interior angles of a triangle ABC, then show that "sin"((B+C)/2)=cos(A/2) .

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

For triangle ABC, show that : (i) "sin" (A + B)/(2) = "cos" (C)/(2) (ii) "tan" (B + C)/(2) = "cot" (A)/(2)

For triangle ABC, show that: sin((A+B)/(2))-cos(C)/(2)=0

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

In any triangle ABC, show that : 2a cos (B/2) cos (C/2) = (a+b+c) sin (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 c/2

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

ICSE-TRIGONOMETRICAL IDENTITIES-EXERCISE 21 (C)
  1. Show that : sin A cos A - (sin A cos(90^(@) - A) cos A)/ (sec (90^(@...

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  2. For triangle ABC, show that : (i) "sin" (A + B)/(2) = "cos" (C)/(2) ...

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  3. For triangle ABC, show that "tan"(B+C)/2="cot"A/2

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  4. Evaluate : 3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))

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  5. Evaluate : 3 cos 80^(@)cosec 10^(@)+2sin 59^(@)sec 31^(@)

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  6. Evaluate : (sin 80^(@))/(cos 10^(@))+sin 59^(@)sec 31^(@)

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  7. Evaluate : tan (55^(@)-A)-cot (35^(@)+A)

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  8. Evaluate : cosec(65^(@)+A)-sec(25^(@)-A)

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  9. Evaluate : 2 (tan 57^(@))/(cot 33^(@))-(cot 70^(@))/(tan 20^(@))-sqr...

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  10. Evaluate : (cot^(2)41^(@))/(tan^(2)49^(@))-2(sin^(2)75^(@))/(cos^(2)...

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  11. Evaluate : (cos 70^(@))/(sin 20^(@))+(cos 59^(@))/(sin31^(@))-8sin^(...

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  12. Evaluate : 14 sin 30^(@)+6cos 60^(@)-5tan 45^(@)

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  13. A triangle ABC is right angled at B, find the value of (sec A . cose...

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  14. Find (in each case, given below) the value of x, if : sin x = sin 60...

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  15. Find (in each case, given below) the value of x, if : sin x = sin 60...

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  16. Find (in each case, given below) the value of x, if : cos x = cos 60...

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  17. Find (in each case, given below) the value of x, if : tan x = (tan 6...

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  18. Find (in each case, given below) the value of x, if : sin 2 x = 2 si...

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  19. Find (in each case, given below) the value of x, if : sin 3 x = 2 si...

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  20. Find the value of x in the following : cos2x=cos60cos30 + sin60sin3...

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