Last updated at Dec. 24, 2019 by Teachoo

Transcript

Example 7 If cotβ‘π₯ = β 5/12 , x lies in second quadrant, find the values of other five trigonometric functions. Since x lies in llnd Quadrant Where cos x and tan x will be negative But sin x will be Positive we know that 1 + cot2x = cosec2 x 1 + ((β5)/12)^2 = cosec2 x 1 + 25/144 = cosec2 x (144 + 25)/144 = cosec2 x 169/144 = cosec2x cosec2 x = 169/144 cosec x = Β± β(169/144) cosec x = Β± 13/12 As x is in llnd Quadrant, sin x is positive in llnd Quadrant, cosec x is positive in llnd Quadrant β΄ cosec x = 13/12 sin x = 1/cosππβ‘π₯ = 1/(13/12) = 12/13 tan x = 1/(πππ‘ π₯) = 1/((β5)/12) = (β12)/5 tan x = sinβ‘π₯/cosβ‘π₯ cos x = sinβ‘π₯/tanβ‘π₯ = 12/13 Γ (β5)/12 = (β5)/13 sec x = 1/cosβ‘π₯ = (β13)/5

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Chapter 3 Class 11 Trigonometric Functions

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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.