Let S = \θ ∈ [0, 2π) : tan(π cosθ) + tan(π sinθ) = 0\. Then displaystylesum_θ ∈ S sin^2 (θ + (π)/4 ) is equal to __________.

Let S = \θ ∈ [0, 2π) : tan(π cosθ) + tan(π sinθ) = 0\. Then… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 24 Jan · Shift 2 · numerical answer

Let

S = \{\theta \in [0, 2\pi) : \tan(\pi \cos\theta) + \tan(\pi \sin\theta) = 0\}

.

Then

\displaystyle\sum_{\theta \in S} \sin^2\!\left(\theta + \dfrac{\pi}{4}\right)

is equal to __________.

Show answer

Answer: 2

[JEE Main 2023 · 24 Jan · Shift 2]

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