# How do you determine if #cos35^circ<cos45^circ# is true or false?

##### 1 Answer

Mar 17, 2017

**FALSE**

#### Explanation:

Between **cosine function** is a decreasing function. For this let us start from the definition of cosine function. As we know, in a right angled triangle, such as one given below:

To see the performance of the ratio as we increase the angle **adjacent side** continues to reduce and when

graph{cos((pix)/180) [-7.03, 153, -0.5, 1.5]}

and we observe that while

Hence, **FALSE**. Rather, we have