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Find the exact value of tan pi/4

User Csislander
by
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2 Answers

2 votes

Answer:

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!):


tan((\theta)/(2))=(1-cos\theta)/(sin\theta)

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


tan(((\pi)/(2) )/(2)) because


(\pi)/(2) *(1)/(2)=(\pi)/(4)

Filling in:


tan(((\pi)/(2) )/(2))=(1-cos((\pi)/(2)) )/(sin((\pi)/(2)) )

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


cos((\pi)/(2))=0 and
sin((\pi)/(2))=1 so filling those values in gives us:


tan(((\pi)/(2) )/(2))=(1-0)/(1) so the exact value of


tan((\pi)/(4))=1

User Diegocstn
by
7.6k points
4 votes

Answer: 1.4×10^-2

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

User Xhadon
by
8.7k points

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