If a2 - 2a cosx + 1 =674 and tan (x/2) = 7 and the integral value of a is 5k, then k is _________.

Given, a2 - 2a cos x + 1 =674 .... (1) and tan (x/2) = 7.

Also, a = 5k.

So, (1) becomes,

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