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
NCERT Exemplar - MCQ
NCERT Exemplar - MCQ
Last updated at August 14, 2026 by Teachoo
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 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)