Question 909114
in quadrant 1, the sine is equal to opposite divided by hypotenuse.


opposite side is 4
hypotenuse is 5
adjacent side is 3 because this is a 3/4/5 triangle.


in quadrant 2, the opposite side and the hypotenuse are positive, but the adjacent side is negative.


this is because opposite side is y and y is positive in quadrant 2.
this is because hypotenuse is always positive.
this is because adjacent side is x and x is negative in quadrant 2.


the sides in quadrant 2 are therefore:


opposite side is 4
hypotenuse is 5
adjacent side is -3.


now you can find all your trig functions.


sine is 4/5
cosine is -3/5
tangent is -4/3
cotangent is -3/4
secant is -5/3
cosecant is 5/4


cotangent is equal to 1/tangent


secant is equal to 1/cosine


cosecant is equal to 1/sine