Check sibling questions

If cos A = 4/5 , then the value of tan A is

(A) 3/5  (B) 3/4    (C) 4/3  (D) 5/3


Transcript

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 โˆด sec A = ๐Ÿ“/๐Ÿ’ Now, 1 + tan2 A = sec2 A Putting values 1 + tan2 A = (5/4)^2 1 + tan2 A = 25/16 tan2 A = 25/16โˆ’1 tan2 A = (25 โˆ’ 16)/16 tan2 A = 9/16 tan2 A = (๐Ÿ‘/๐Ÿ’)^๐Ÿ Removing square tan A = ยฑ 3/4 Since only positive values are given in options tan A = ๐Ÿ‘/๐Ÿ’ So, the correct answer is (B)

  1. Chapter 8 Class 10 Introduction to Trignometry
  2. Serial order wise

About the Author

Davneet Singh

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