Question

Determine the exact values of all three trigonometric functions of the angle 4.25pi

Answer 1

Sin (4.25π)= 0.7071

Cos(4.25π)= 0.7071

Tan(4.25π)= 1

Explanation:

`\pi=180º (half circumference)\\ 2\pi= 360º (complete circumference)\\ 4\pi= 720º (2 complete cincumference\\ 4.25\pi= 720º + 45º (2 complete circumference + 45º)`

Sin, Cos and Tan of 45º angle is the same with 1,2 or more circumferences.

So the result is the same for 45º angle.

So:

`Sin (45º) = (√(2) )/(2)\\Cos (45º) = (√(2) )/(2)\\ Tan(45º) = 1`