Question

1. Evaluate cos-1 (tan (0))

Answer 1

Answer:

1

Step-by-step explanation:

First of all go one step at a time. Find tan(0). For this question, you can use your calculator.

Tan(0) = 0 That's because the opposite side has a length of 0 and the tangent's definition is

Tan(x ) = opposite side / adjacent side. The opposite side and the adjacent side are part of the same length. There is no real opposite side.

=========

Now you are down to cos-1(0)

If you put that into your calculator like this

2nd Function

cos-1(

0

)

=

You will get 1

Answer 2

Answer:

pi/2

Step-by-step explanation:

Arccos(tan(0))

Arccos( 0) since tan(0)=0

Arccos(0)=pi/2 since cos(pi/2)=0 and the restricted domain of cosine is [0,pi].