perplexus.info :: Just Math : trigonometry and a triangle

trigonometry and a triangle (Posted on 2004-02-26)

Prove that in a triangle ABC,:

sin(A)sin(B)sin(C) + cos(A)cos(B) = 1

implies:

A = B = 45° and C = 90°.

See The Solution Submitted by mohan

Rating: 2.7143 (7 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-06-19 02:06:14
My solution	Alexis	2006-08-21 00:58:11
What I think!!	Nebo	2004-08-19 10:44:27
re: A start...	TCNZ	2004-06-16 18:21:59
trigonomentry and a triangle	liam	2004-03-13 11:18:40
re(2): solution	mohan	2004-02-29 03:08:26
easier solution	eleusive	2004-02-28 23:37:55
lol	matt runchey	2004-02-27 17:36:49
re(2): solution	Charlie	2004-02-27 07:22:17
re: solution	Federico Kereki	2004-02-27 06:43:35
re: solution	Brian Wainscott	2004-02-26 16:37:05
solution	jacob	2004-02-26 16:21:36
Quick Guess	red_sox_fan_032003	2004-02-26 16:19:24
A start...	Brian Wainscott	2004-02-26 16:13:30
Wow first post	Rawlyn	2004-02-26 15:36:04

Please log in:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (16)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info