Question

Give an example of an angle which has a cos value between 0.3 and 0.5

Answer 1

Answer:

70 degrees

Step-by-step explanation:

We want to determine an angle $\theta such that 0.3<\cos \theta<0.5$

If $0.3<\cos \theta<0.5, then:$

$\arccos 0.3< \theta<\arccos 0.5$

$60^\circ<\theta<72.53^\circ$

Therefore, any angle greater than 60 degrees but less than 72.54 degrees will give a cosine value of the required range.

Example:

$\cos 70^\circ =0.342$