Ex 3.2, 3 - If cot x = 3/5, Find values of other trigonometric - Finding Value of trignometric functions, given other functions

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

Transcript

Ex3.2, 3 Find the values of other five trigonometric functions if cot x = 3/4 , x lies in third quadrant. Since x lies in lllrd Quadrant sin and cos will be negative But tan will be positive Given cot x = 3/4 we know that 1 + cot2 x = cosec2 x 1 + (3/4)^2 = cosec2 x 1 + 9/16 = cosec2 x (16 + 9)/16 = cosec2 x 25/16 = cosec2 x cosec2 x = 25/16 cosec x = (25/16) cosec x = ( 5)/4 As x is lllrd Quadrant, sin x is negative lllrd Quadrant cosec x is negative lllrd Quadrant cosec x = ( 5)/4 sin x = 1/cos = 1/(( 5)/4) = ( 4)/5 tan x = 1/( ) = 1/(3/4) = 4/3 tan x = sin /cos cos x = sin / = (( 4)/5)/(4/3) = ( 4)/5 3/4 = ( 3)/5 sec x = 1/cos = 1/(( 3)/5) = ( 5)/3

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