The most general solution of tan⁡θ$$=$$−1,cos⁡θ$$=12$$ is

π z + ( − 1 ) n 7 π 4 , n ∈ Z

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The most general solution of $\tan θ = - 1, \cos θ = \frac{1}{\sqrt{2}}$ is

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n π + \frac{7 π}{4}, n \in Z

π z + (- 1)^{n} \frac{7 π}{4}, n \in Z

2 n π + \frac{7 π}{4}, n \in Z

none of these

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detailed solution

Correct option is C

We have

$\tan θ = - 1$ and $\cos θ = \frac{1}{\sqrt{2}}$

The value of $θ$ lying between 0 and $2 π$ and satisfying these

is $\frac{7 π}{4} .$ Therefore, the most general solution is

$θ = 2 n π + \frac{7 π}{4},$ where $n \in Z$

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The most general solution of tan⁡θ=−1,cos⁡θ=12 is