Example 27 - Chapter 3 Class 11 Trigonometric Functions
Last updated at May 29, 2018 by Teachoo
Transcript
Example, 27 find the value of tan " " /8 . tan /8 Putting = 180 = tan (180 )/8 = tan (45 )/2 We find tan (45 )/2 using tan 2x formula tan 2x = (2 tan )/(1 2 ) Putting x = (45 )/2 tan (2 (45 )/2) = (2 tan (45 )/2 )/(1 2 (45 )/2) tan 45 = (2 tan (45 )/2 )/(1 2 (45 )/2) 1 = (2 tan (45 )/2 )/(1 2 (45 )/2) 1 tan2 (45 )/2 = 2tan (45 )/2 Putting tan (45 )/2 = x 1 x2 = 2x 0 = 2x + x2 1 0 = x2 + 2x 1 x2 + 2x 1 = 0 The above equation is of the form ax2 + bx + c = 0 Here a = 1, b = 2, c = -1 Solution are x = ( ( 2 4 ) )/2 = ( 2 (( 2)2 4 1 ( 1)) )/(2 1) = ( 2 (4 + 4))/2 = ( 2 8)/2 = ( 2 (2 2 2))/2 = ( 2 2 2)/2 = (2 ( 1 2 ))/2 = 1 2 x = 1 2 tan (45 )/2 = 1 2 But tan (45 )/2 = 1 2 is not possible as (45 )/2 = 22.5 lies in first quadrant & tan is positive in first quadrant tan (45 )/2 = - 1 + 2 So, tan /8 = 2 1
Examples
Example 1
Example 2
Example 3
Example 4
Example 5 Important
Example 6 Important
Example 7 Important
Example 8
Example 9 Important
Example 10
Example 11 Important
Example 12
Example 13
Example 14
Example 15
Example 16 Important
Example 17 Important
Example 18
Example 19 Important
Example 20
Example 21
Example 22 Important
Example 23
Example 24 Important
Example 25 Important
Example 26 Important
Example 27 Important You are here
Example 28 Important
Example 29 Important
Chapter 3 Class 11 Trigonometric Functions
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.