0

Guest

Courses New

if m=tana=sina and n=tana-sina then prove that m^2 -n^2 =4under root mn

if m=tana=sina and n=tana-sina then prove that m^2 -n^2 =4under root mn
 

Grade:11

1 Answers

Yarra Deva
39 Points
6 years ago
question has correction
m=tana+sina and n=tana -sina
m+n=2tana.m-n=2sina
(m+n)(m-n)=m^2-n^2=4tanasina
=4\sqrt{}tan^2asin^2a
=4\sqrt{}tan^2a(1-cos^2a)
=4\sqrt{}tan^2a-(sin^2acos^2a/cos^2a)
=4\sqrt{}tan^2a-sin^2a)
=4\sqrt{}(tana-sina)(tana+sina)
=4\sqrt{}mn
hence proved

Think You Can Provide A Better Answer ?

Other Related Questions on Trigonometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More