Math, asked by rohithnani47, 11 months ago

if A, B and C are interior angles of triangles ABC, then so that tan (A+B)/2=cotC/2

Answers

Answered by pallavisrinivas2004

1

Step-by-step explanation:

A+B+C=180. [·.·angle sum property]

divide both sides by 2

A+B/2=180-c/2

A+B/2=90-c/2

apply tan on bothsides

tan(A+B)=tan(90-c/2)

tan(A+B)=cot C/2. [·.·tan(90-C)=cot C]

·.·Hence proved

Previous Question

Next Question

Similar questions

Psychology, 5 months ago

how can she have so much followers? without a single answer...

Math, 5 months ago

if the length of the shadow of the tree is equal to its height the angle of elevation will be...

English, 5 months ago

Write email to all customers of your organisation about the changes in payment terms.

Physics, 11 months ago

A MAN OF MASS 70 KG ASCENDS A FLIGHT of 36 STEPS EACH 20 CM HIGH .WORK DONE BY THE MAN AGAINST THE GRAVITATIONAL FORCE IS (g=9.8ms-2...

Math, 11 months ago

the area of a rectangle paper is 49cm and l=7 and b=7. when the paper is rolled from the bottom,then what is the area of the paper rolled...

Math, 1 year ago

The average marks of a student in 8 subjects is 87. Of these, the highest marks are 2 more than the one next in value. If these two subjects are eliminated, the average marks of the remaining subjects are 85. What are the highest marks obtained by him?; The average marks of a student in 8 subjects is 87. Of these, the highest marks are 2 more than the one next in value. If these two subjects are...

Math, 1 year ago

hey. my analytical test for internship in tcs is on 22 can anyone help how to prepare and what to prepare??; hey. my analytical test for internship in tcs is on 22 can anyone help how to prepare and what to prepare??

Math, 1 year ago

how many 2 are there in between 1000 to 9999...