Find the exact value of tan pi/4

1.4×10^-2

Step-by-step explanation:

Tanpi/4

Pi could be either 22/7 or 3.142

So any of these can be chosen

Pi = 3.142

Pi/4= 3.142/4

=0.7854

Tan 0.7854

= 0.0137

=1.4×10^-2

Step-by-step explanation:

We'll use the half angle identity for tangent along with the unit circle to find the exact value of tan(π / 4).  There are 3 half angle identities for tangent, but I chose this one (just because!):

We just need to find the angle to replace theta.  It will be

because

Filling in:

Here's where we'll look to the unit circle to find that the

 and   so filling those values in gives us:

so the exact value of