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Show that (Sin(n+1)A-sin(n-1)A)/(cos(n+...

Show that ` (Sin(n+1)A-sin(n-1)A)/(cos(n+1)A + 2 cosnA+ cos(n-1)A) = tan(A/2)`

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(Show sin (n + 1) A-sin (n-1) A) / (cos (n + 1) A + 2cos nA + cos (n-1) A) = tan ((A) / (2))

sin (n + 1) A sin (n-1) A + cos (n + 1) A cos (n-1) A = cos2A

sin (n + 1) A * sin (n-1) A + cos (n + 1) A * cos (n-1) A = cos2A

Prove that: sin(n+1)A sin(n+2)A+cos(n+1)A cos(n+2)A=cos A

Prove that: sin(n+1)As in(n+2)A+cos(+1)A cos(n+2)A=cos A

(sin (n +1) A + 2 sin n A + sin (n-1) A)/( cos ( n -1) A - cos (n +1) A)=

(sin (n +1) A +2 sin n A + sin ( n -1) A )/( cos (n +1) A - cos ( n -1) A ) =

(sin (n + 1) A + 2sin n + sin (n-1) A) / (cos (n-1) A-cos (n + 1) A) = (cot A) / (2)

Prove that: sin(n+1)x sin(n+2)x+cos(n+1)x cos(n+2)x=c