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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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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 = πŸπŸ”πŸ—/πŸπŸ’πŸ’ cosec2 x = 169/144 cosec x = Β± √(169/144) cosec x = Β± πŸπŸ‘/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‘ sec x = 1/cos⁑π‘₯ = (βˆ’πŸπŸ‘)/πŸ“

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.