Question

+
(sin(7) + SinGn. J + [sing x) +Sin (s)
[cos (7x) + cos (5x J + [cos Cax) + cos(3)
=tan(6x)​

Answer 1

Answer:

Given (Sin7x+Sin5x) /(Cos7x+Cos5x) + (Sin9x+Sin3x) / (Cos9x+Cos3x)

=> [{2*sin(7x+5x)/2 * cos(7x-5x)/2}/{2*cos(7x+5x)/2 * cos(7x-5x)/2}] + [{2*sin(9x+3x)/2 * cos(9x-3x)/2}/{2*cos(9x+3x)/2 * cos(9x-3x)/2}]

=> [{2*sin6x * cosx}/{2*cos6x * cosx}] + [{2*sin6x * cosx}/{2*cos6x * cosx}]

=> (sin6x/cos6x) +(sin6x/cos6x)

=> tan6x + tan6x

=> 2*tan6x

Step-by-step explanation:

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