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

Example 10 - Chapter 3 Class 11 Trigonometric Functions - Part 2

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E ample, 10 Prove that 3sin /6 sec /3 4 sin 5 /6 cot /4 = 1 Taking L.H.S. 3sin /6 sec /3 - 4 sin 5 /6 cot /4 Putting = 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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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.