## 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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NCERT Exemplar - MCQ

Chapter 8 Class 10 Introduction to Trignometry

Serial order wise

Last updated at Oct. 20, 2021 by Teachoo

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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 β΄ sec A = π/π Now, 1 + tan2 A = sec2 A Putting values 1 + tan2 A = (5/4)^2 1 + tan2 A = 25/16 tan2 A = 25/16β1 tan2 A = (25 β 16)/16 tan2 A = 9/16 tan2 A = (π/π)^π Removing square tan A = Β± 3/4 Since only positive values are given in options tan A = π/π So, the correct answer is (B)