Please find the values of the TRIGOnometric functions of t from the given info.?

Question

tan x = - 3/4 , cos x> 0

Please explain it to me too. I really can't understand. Thank you so much. ^_^

Answer 1

Draw a right angled triangle. Recognize the Pythagorean triple {3,4,5}. The hypotenuse is 5

tan(x) = -3/4

cos(x) = 4/5 ------ cos(x) > 0

sin(x) = -3/5 ------ tan(x)<0 and cos(x)>0 so sin(x)<0

sec(x) = 1/cos(x) = 5/4

csc(x) = 1/sin(x) = -5/3

cot(x) = 1/tan(x) = -4/3