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

(A) 3/5ย  (B) 3/4ย  ย  (C) 4/3ย  (D) 5/3

MCQ (NCERT Exemplar) - If cos A = 4/5 , then the value of tan A is - NCERT Exemplar - MCQ

part 2 - Question 4 - NCERT Exemplar - MCQ - Serial order wise - Chapter 8 Class 10 Introduction to Trignometry

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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)

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