Question 44

Mathematics Trigonometric Equations Hard

Let \( x - y \tan 35^\circ = \tan 25^\circ (y + x \tan 35^\circ) \) for some \( x, y \in \mathbb{R} \). Then which one of the following is true?

(A) x > y
(B) x < y
(C) x = y
(D) No such x, y exist
View Dynamic Solution & Explanation
Correct Solution: Option A

Step-by-step Solution:

Rearranging gives a linear relation between x and y which implies \( x > y \).