Question

3 tan B=4 find the value of cos B

Answer 1

tanB = 4/3 = perpendicular/base

hypotenuse = √4^2+3^2= 5

cosB = base/ hypotenuse= 3/5

Answer 2

Answer: 3/5

Step-by-step explanation:

3*tan(B) = 4

tan(B) = 4/3

tan^2(B) = 16/9

sec^2(B) - 1 = 16/9  [trigonometric identity: 1 + tan^2(B) = sec^2(B)]

sec^2(B) = 25/9

sec(B) = 5/3

cos(B) = 3/5  [because cos(B) = 1/sec(B)]

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