Last updated at Dec. 8, 2016 by Teachoo

Transcript

Ex 3.2, 1 Find the values of other five trigonometric functions if cosβ‘π₯ = β 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 = (β1)/2 We know that sin2 x + cos2 x = 1 sin2 x + ((β1)/2)^2 = 1 sin2 x + 1/4 = 1 sin2 x = 1 β 1/4 sin2 x = (4 β 1)/4 sin2x = 3/4 sin x = Β±β(3/4) sin x = Β± β3/2 Since, x is in lllrd Quadrant sin x is negative lllrd Quadrant β΄ sin x = ββ3/2 tan x = sinβ‘π₯/cosβ‘π₯ = (β β3/2)/((β1)/2) = (ββ3)/2 Γ 2/(β1) = β3 cosec x = 1/sinβ‘π₯ = 1/((ββ3)/2) = (β2)/β3 sec x = 1/cosβ‘π₯ = 1/((β1)/2) = (β2)/1 = -2 cot x = 1/tanβ‘π₯ = 1/β3

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.