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MATHEMATICS · Multi correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

In ΔABC\Delta ABC, tan⁡B+tan⁡C=5\tan B+\tan C=5 and tan⁡Atan⁡C=3\tan A\tan C=3. Then, (1) ΔABC\Delta ABC is an acute-angled triangle. (2) ΔABC\Delta ABC is an obtuse-angled triangle. (3) The sum of all possible values of tan⁡A\tan A is 1010. (4) The sum of all possible values of tan⁡A\tan A is 99.

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