Ex 3.3, 1 - Prove sin2 pi/6 + cos2 pi/3 - tan2 pi/4 = -1/2 - Finding Value of trignometric functions, given angle

  1. Chapter 3 Class 11 Trigonometric Functions
  2. Serial order wise
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Ex 3.3, 1 Prove that sin2 π/6 + cos2 π/3 – tan2 π/4 = – 1/2 Taking L.H.S sin2 π/6 + cos2 π/3 - tan2 π/4 Putting π = 180° = sin2 180/6 + cos2 180/3 – tan2 180/6 = sin2 30 + cos2 60° – tan2 45° = (sin 30° )2 + ( sin 60° )2 – (tan 45° )2 Putting sin 30° = 1/2 sin 60° = 1/2 tan 45° = 1 = (1/2)^2 + (1/2)^2 – 12 = 1/4+ 1/4 −1 = (1 + 1 − 4 )/4 = (2 − 4 )/4 = (− 2)/4 = (− 1)/2 = R.H.S. Hence proved

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