If cos A = 4/5 , then the value of tan A is
(A) 3/5 (B) 3/4 (C) 4/3 (D) 5/3
Last updated at Dec. 16, 2024 by Teachoo
Question 4 If cos A = 4/5 , then the value of tan A is (A) 3/5 (B) 3/4 (C) 4/3 (D) 5/3 Since cos A = 4/5 โด sec A = ๐/๐ Now, 1 + tan2 A = sec2 A Putting values 1 + tan2 A = (5/4)^2 1 + tan2 A = 25/16 tan2 A = 25/16โ1 tan2 A = (25 โ 16)/16 tan2 A = 9/16 tan2 A = (๐/๐)^๐ Removing square tan A = ยฑ 3/4 Since only positive values are given in options tan A = ๐/๐ So, the correct answer is (B)
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo