Check sibling questions

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

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

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

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.