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Question

Mathematics Question on Some Applications of Trigonometry

Consider the following lists:

List IList II
I\left\\{x \in\left[-\frac{2 \pi}{3}, \frac{2 \pi}{3}\right]: \cos x+\sin x=1\right\\}
II\left\\{x \in\left[-\frac{5 \pi}{18}, \frac{5 \pi}{18}\right]: \sqrt{3} \tan 3 x=1\right\\}
III\left\\{x \in\left[-\frac{6 \pi}{5}, \frac{6 \pi}{5}\right]: 2 \cos (2 x)=\sqrt{3}\right\\}
IV \left\\{x \in\left[-\frac{7 \pi}{4}, \frac{7 \pi}{4}\right]: \sin x-\cos x=1\right\\}
T

The correct option is:

A

(I) → (P); (II) → (S); (III) → (P); (IV) → (S)

B

(I) → (P); (II) → (P); (III) → (T); (IV) → (R)

C

(I) → (Q); (II) → (P); (III) → (T); (IV) → (S)

D

(I) → (Q); (II) → (S); (III) → (P); (IV) → (R)

Answer

(I) → (P); (II) → (P); (III) → (T); (IV) → (R)

Explanation

Solution

The correct match is option (B) :(I) → (P); (II) → (P); (III) → (T); (IV) → (R)