Question

find the value of tan theta, if cos theta = 4/5;0 degree <= theta < 90degree

Answer 1

okay cos(theta) = adjacent / hypotenuse
u can calulate the third side by using the pythagorean thm.
and then calculate tan (theta) = opposite (third side) / adjacent

Answer 2

theta let being here ß

tan ß = ? if cos ß = 4/5 when 0 degree=<ß<90 degree

tan ß = sin ß / cos ß = sin ß / (4/5)

cos^2 ß + sin^2 ß =1

16/25 + sin^2 ß = 1

sin^2 ß = 1 - 16/25

sin^2 ß = (25-16)/25 = 9/25

sin ß = 3/5

tan ß = sin ß / cos ß

tan ß = (3/5) / (4/5) = (3/5) * (5/4) = 3/4

tan ß = 3/4

Answer 3

hope so much that will help you understanding all right easy