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The general solution for θ if sin(2θ + π/6) + cos(θ + 5π/6) = 2 is

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The general solution for θ if sin(2θ + π/6) + cos(θ + 5π/6) = 2 is

(a)  2nπ + 7π/6

(b)  2nπ+ π/6

(c)  2nπ - 7π/6

(D)  None of these

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Best answer

Correct option (a)  2nπ + 7π/6

Both are equal to 1 simultaneously. First, a common value of θ is 7 π/ 6 for which

Therefore, the general solution is 

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