Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If A, B, and C are the angles of a triangle such that angle A is obtuse, then tan B tan C will be less than
A
B
C
1
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
Since A is obtuse angle, 90 0 < A < 180 0 ⇒ ⇒ 90
0 < 180 – (B + C) < < 180 0
⇒ ⇒ – 90 0 > B + C – 180 0 > –180 0 ⇒ ⇒ 90
0 > B + C > 0
⇒ ⇒ B + C < 90 0 ⇒ ⇒ B < 90 0 – C
⇒ ⇒ tan B < tan (90 0 – C) ⇒ ⇒ tan B < cot C
⇒ ⇒ tan B tan C < 1
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
In a Δ ABC, if P,Q,R divide sides AB, BC, CA respectively in k : 1. If , then k equals
In a triangle ABC, cos A cos B + sin A sin B sin C = 1, then the triangle is -
In a triangle ABC, =
If P is a point on the altitude AD of the triangle ABC such that ∠ PBD = , then AP is equal to -
In a Δ ABC, if a, b, c and A are given, then there are two Δ ’s with third sides c 1 and c 2 , then…
In a triangle ABC, tan = , tan = , then –