Answer: The angle is [tex]45\°[/tex] and the tangent is 1
Step-by-step explanation:
The angle [tex]\theta[/tex] at wich the functions sine and cosine are equal is [tex]45\°[/tex]. Let's prove it:
[tex]sin (45\°)=0.7071[/tex]
[tex]cos (45\°)=0.7071[/tex]
Hence:
[tex]sin (45\°)=cos (45\°)[/tex]
On the other hand, the tangent function is defined as:
[tex]tan \theta=\frac{sin \theta}{cos \theta}[/tex]
Then:
[tex]tan (45\°)=\frac{sin (45\°)}{cos (45\°)}[/tex]
[tex]tan (45\°)=\frac{0.7071}{0.7071}[/tex]
[tex]tan (45\°)=1[/tex]
