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Trigonometric Functions and Equations · 2022 · Shift 2

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
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2022 · Shift 2
Mathematics
Trigonometric Functions and Equations

Trigonometric Functions and Equations · 2022 · Shift 2

2 Mathematics questions from this JEE Advanced paper

Q19.Let $α$ and $β$ be real numbers such that $- \frac{π}{4} < β < 0 < α < \frac{π}{4}$ . If $sin (α + β) = \frac{1}{3}$ and $cos (α - β) = \frac{2}{3}$ , then the greatest integer less than or equal to $(\frac{s i n α}{c o s β} + \frac{c o s β}{s i n α} + \frac{c o s α}{s i n β} + \frac{s i n β}{c o s α})^{2}$ …
Mathematics · Trigonometric Functions and Equations · Numerical
Q27.Let $P QR S$ be a quadrilateral in a plane, where $QR = 1, ∠ P QR = ∠ QR S = 7 0^{\circ}, ∠ P QS = 1 5^{\circ}$ and $∠ P R S = 4 0^{\circ}$ . If $∠ R P S = θ^{\circ}, P Q = α$ and $P S = β$ , then the interval(s)…
Mathematics · Trigonometric Functions and Equations · Multiple correct