Question

What is the approximate value of tan(6pi/5)

Group of answer choices


0.066


0.727


1.312


–0.969

Answer 1

Without a calculator, i guess you can try using the small angle approximation (tanø = ø). Since tanø repeats every pi radians. We can say tan(6pi/5) = tan(pi/5); now the angle is quite small. We, hence, can say that pi/5 is the closest to the value of 0.727.

Answer 2

Explanation:

Use calculator to find .727

You can use your calculator in RADIAN mode to find tan(6pi/5)

or you can convert 6pi/5 to degrees and use your calculator in degree mode 6 pi / 5 * 180 / pi = 216 degrees

then tan (216 degrees) = .727