Let P Q R S be a quadrilateral in a plane, where Q R=1, \angle P Q R=\angle Q R S=70^{\circ}, \angle P Q S=15^{\circ} and \angle P R S=40^{\circ} If \angle R P S=\theta^{\circ}, P Q=\alpha and P S=\beta, then the interval(s) that contain(s) the value of 4 \alpha \beta \sin \theta^{\circ} is/are [JEE Adv 2022 P2]

Trigonometric Functions & Equations

Section: Mathematics

Question : 4 of 30

Marks: +1, -0

Let PQRS be a quadrilateral in a plane, where QR=1,∠PQR=∠QRS=70∘,∠PQS=15∘ and ∠PRS=40∘
If ∠RPS=θ∘,PQ=α and PS=β, then the interval(s) that contain(s) the value of 4αβ‌sin‌θ∘ is/are

[JEE Adv 2022 P2]

(0,√2)
(1,2)
(√2,3)
(2√2,3√2)

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