Question
Mathematics Question on Some Applications of Trigonometry
Consider the following lists:
List I | List 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)