All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 11 Exam  >  Class 11 Questions  >  If m angle B=45 of triangle ABC,then(1 cotA)... Start Learning for Free
SaveJoin the Discussion on the App
If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2?
Clear all your Class 11 doubts with EduRev
Most Upvoted Answer
If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 ...
Solution:

Given, angle B = 45° in triangle ABC.

We know that the sum of all angles in a triangle is 180°.

Therefore, angle A + angle B + angle C = 180°.

Substituting angle B = 45°, we get:

angle A + 45° + angle C = 180°

angle A + angle C = 135°

Now, we need to find the value of (1/cot A) (1/cot C).

Let us first simplify this expression.

(1/cot A) (1/cot C) = (1/tan A) (1/tan C) [Since cot A = 1/tan A and cot C = 1/tan C]

= 1/(tan A tan C)

We know that tan (A + C) = (tan A + tan C)/(1 - tan A tan C)

Substituting angle A + angle C = 135°, we get:

tan 135° = (tan A + tan C)/(1 - tan A tan C)

Since tan 135° = -1, we can write:

-1 = (tan A + tan C)/(1 - tan A tan C)

Simplifying this equation, we get:

tan A tan C + tan A + tan C + 1 = 0

Now, let us try to find the value of (1/cot A) (1/cot C) using the given equation.

(1/cot A) (1/cot C) = (1/tan A) (1/tan C)

= 1/(tan A tan C)

= -1/(tan A + tan C + 1)

We know that tan A + tan C + 1 = -tan A tan C.

Therefore, (1/cot A) (1/cot C) = -1/(-tan A tan C) = 1

Hence, the value of (1/cot A) (1/cot C) is 1.

Therefore, the correct option is 2) 1.

Note: HTML tags cannot be used in plain text response.
Community Answer
If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 ...
Option b
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Top Courses for Class 11View all

Top Courses for Class 11

If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2?
Question Description
If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2?.
Solutions for If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2? defined & explained in the simplest way possible. Besides giving the explanation of If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2?, a detailed solution for If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2? has been provided alongside types of If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2? theory, EduRev gives you an ample number of questions to practice If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup