Ex 3.2, 1 - Find values of other five trigonometric functions if cos x = -1/2 , x lies in third quadrant. - Ex 3.2

  1. Chapter 3 Class 11 Trigonometric Functions
  2. Serial order wise
Ask Download

Transcript

Ex 3.2, 1 Find the values of other five trigonometric functions if cos = 1/2 , x lies in third quadrant. Since x is in lllrd Quadrant sin and cos will be negative But tan will be positive Given cos x = ( 1)/2 We know that sin2 x + cos2 x = 1 sin2 x + (( 1)/2)^2 = 1 sin2 x + 1/4 = 1 sin2 x = 1 1/4 sin2 x = (4 1)/4 sin2x = 3/4 sin x = (3/4) sin x = 3/2 Since, x is in lllrd Quadrant sin x is negative lllrd Quadrant sin x = 3/2 tan x = sin /cos = ( 3/2)/(( 1)/2) = ( 3)/2 2/( 1) = 3 cosec x = 1/sin = 1/(( 3)/2) = ( 2)/ 3 sec x = 1/cos = 1/(( 1)/2) = ( 2)/1 = -2 cot x = 1/tan = 1/ 3

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.