Ex 3.2, 2 - Find the values of other five trigonometric functions if sin x = 3/5 , x lies - Ex 3.2

  1. Chapter 3 Class 11 Trigonometric Functions
  2. Serial order wise
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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 – 9/25 cos2x = (25 − 9)/25 cos2x = 16/25 cos x = ±√(16/25) cos x = ± 4/5 As x is llnd Quadrant cos x is negative llnd Quadrant ∴ cos x = (−4)/5 tan x = sin⁡𝑥/cos⁡𝑥 = (3/5)/((−4)/5) = 3/5 × 5/(−4) = (−3)/4 cosec x = 1/sin⁡𝑥 = (1 )/(3/5) = (1 × 5)/3 = 5/3 sec x = 1/cos⁡𝑥 = (1 )/((−4)/5) = (1 × 5)/(−4) = (−5)/4 cot x = 1/tan⁡𝑥 = 1/((−3)/4) = (−4)/3

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