Check sibling questions

Example 7 - If cot x = -5/12 , x lies in second quadrant

Example 7 - Chapter 3 Class 11 Trigonometric Functions - Part 2
Example 7 - Chapter 3 Class 11 Trigonometric Functions - Part 3
Example 7 - Chapter 3 Class 11 Trigonometric Functions - Part 4

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Example 7 If cot⁑π‘₯ = – 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 + ((βˆ’5)/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± √(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 ∴ cosec x = πŸπŸ‘/𝟏𝟐 sin x = 1/cos𝑒𝑐⁑π‘₯ = 1/(13/12) = 𝟏𝟐/πŸπŸ‘ tan x = 1/(π‘π‘œπ‘‘ π‘₯) = 1/((βˆ’5)/12) = (βˆ’πŸπŸ)/πŸ“ tan x = sin⁑π‘₯/cos⁑π‘₯ cos x = sin⁑π‘₯/tan⁑π‘₯ = 12/13 Γ— (βˆ’5)/12 = (βˆ’πŸ“)/πŸπŸ‘

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.