Question

Find an angle where sine and cosine are equal. find the tangent of that angle

Answer 1

Answer: The angle is $45\°$ and the tangent is 1

Step-by-step explanation:

The angle $\theta$ at wich the functions sine and cosine are equal is $45\°$. Let's prove it:

$sin (45\°)=0.7071$

$cos (45\°)=0.7071$

Hence:

$sin (45\°)=cos (45\°)$

On the other hand, the tangent function is defined as:

$tan \theta=\frac{sin \theta}{cos \theta}$

Then:

$tan (45\°)=\frac{sin (45\°)}{cos (45\°)}$

$tan (45\°)=\frac{0.7071}{0.7071}$

$tan (45\°)=1$