Last updated at Feb. 12, 2020 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 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, β΄ cosec x is positive in llnd Quadrant β΄ cosec x = ππ/ππ sin x = 1/cosππβ‘π₯ = 1/(13/12) = ππ/ππ tan x = 1/(πππ‘ π₯) = 1/((β5)/12) = (βππ)/π tan x = sinβ‘π₯/cosβ‘π₯ cos x = sinβ‘π₯/tanβ‘π₯ = 12/13 Γ (β5)/12 = (βπ)/ππ
Examples
Example 2 Important
Example 3
Example 4
Example 5 Important
Example 6 Important
Example 7 Important You are here
Example 8
Example 9 Important
Example 10
Example 11 Important
Example 12
Example 13
Example 14
Example 15
Example 16 Important
Example 17 Important
Example 18
Example 19
Example 20 Deleted for CBSE Board 2022 Exams
Example 21 Deleted for CBSE Board 2022 Exams
Example 22 Important Deleted for CBSE Board 2022 Exams
Example 23 Deleted for CBSE Board 2022 Exams
Example 24 Important Deleted for CBSE Board 2022 Exams
Example 25 Important
Example 26
Example 27 Important
Example 28 Important
Example 29 Important
Examples
About the Author