Chapter 3 Class 11 Trigonometric Functions

Serial order wise

Last updated at April 16, 2024 by Teachoo

Ex 3.2, 2 Find the values of other five trigonometric functions if sin x = 3/5 , x lies in second quadrant. Since x is in llnd Quadrant sin will be positive But cos and tan will be negative Here , sin x = 3/5 We know that sin2x + cos2x = 1 (3/5)^2 + cos2x = 1 9/25 + cos2x = 1 cos2x = 1 β 9/25 cos2x = ππ/ππ cos x = Β±β(16/25) cos x = Β± π/π As x is llnd Quadrant cos x is negative llnd Quadrant β΄ cos x = (βπ)/π Now, tan x = sinβ‘π₯/cosβ‘π₯ = (3/5)/(β 4/5) = 3/5 Γ 5/(β4) = (βπ)/π cosec = 1/sinβ‘π₯ = 1/(3/5) = π/π sec x = 1/cosβ‘π₯ = 1/(β 4/5) = (βπ)/π cot x = 1/tanβ‘π₯ = 1/((β3)/4) = (βπ)/π