Check sibling questions

Ex 3.3, 7 - Prove tan (pi/4 + x) / tan (pi/4 - x) = (1 + tan x)2 - (x + y) formula

Ex 3.3, 7 - Chapter 3 Class 11 Trigonometric Functions - Part 2

This video is only available for Teachoo black users

Solve all your doubts with Teachoo Black (new monthly pack available now!)


Transcript

Ex 3.3, 7 Prove that: (tan"(" πœ‹/4 " + " π‘₯")" )/(tan"(" Ο€/4 " βˆ’ " π‘₯")" ) = ((1+ tan" " π‘₯)/(1βˆ’ tan" " π‘₯))^2 Solving L.H.S. (tan⁑ (πœ‹/4 + π‘₯) )/tan⁑(πœ‹/4 βˆ’ π‘₯) Calculating L.H.S tan⁑〖(πœ‹/4 + π‘₯)γ€—/tan⁑〖( πœ‹/4 βˆ’π‘₯)γ€— = ((1 + π‘‘π‘Žπ‘›β‘π‘₯)/(1βˆ’ π‘‘π‘Žπ‘›β‘π‘₯ ))/((1 βˆ’ tan⁑x)/(1 + tan⁑x )) = (1 + π‘‘π‘Žπ‘›β‘π‘₯)/(1βˆ’ π‘‘π‘Žπ‘›β‘π‘₯ ) Γ— (1 + π‘‘π‘Žπ‘›β‘π‘₯)/(1βˆ’ π‘‘π‘Žπ‘›β‘π‘₯ ) = (1 + π‘‘π‘Žπ‘›β‘π‘₯ )2/((1βˆ’ π‘‘π‘Žπ‘›β‘γ€–π‘₯)2γ€— ) = R.H.S Hence proved

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.