Example 10 - Prove that 3sin pi/6 sec pi/3 - 4 sin 5pi/6 - Finding Value of trignometric functions, given angle

  1. Chapter 3 Class 11 Trigonometric Functions
  2. Serial order wise
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E𝑥ample, 10 Prove that 3sin π/6 sec π/3 – 4 sin 5π/6 cot π/4 = 1 Taking L.H.S. 3sin π/6 sec π/3 - 4 sin 5π/6 cot π/4 Putting π = 180° = 3sin 180/6 sec 180/3 – 4 sin (5 × 180" " )/6 cot 180/4 = 3sin 30° sec 60° – 4 sin 150° cot 45° Solving, 3 sin 30° sec 60° - 4sin 150° cot 45° Putting the value = 3 × 1/2 × 2 - 4 × 1/2 × 1 = 3 – 2 = 1 = R.H.S. Hence proved

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