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blondinia [14]
3 years ago
12

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

Mathematics
1 answer:
algol133 years ago
6 0

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

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