Question

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

Answer 1

pi/2

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].

Answer 2

1

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.

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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