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1 vote
What is tan 45°?
A. √3
OB. 1
C.
-~
D. √
OD.
E. 1
2

What is tan 45°? A. √3 OB. 1 C. -~ D. √ OD. E. 1 2-example-1
User Patrungel
by
8.4k points

1 Answer

2 votes

Answer: B) 1

===============================================

Reason:

Draw out a 45-45-90 triangle. This triangle is isosceles with the two legs being the same length. Let's say each is x units long.

The value of tan(45) is equal to the ratio of those leg lengths.

tan(angle) = opposite/adjacent

tan(45) = x/x

tan(45) = 1

-----------------------

Alternative Method:

Use the unit circle shown below to see that


\cos(45^(\circ)) = (√(2))/(2)\\\\\sin(45^(\circ)) = (√(2))/(2)\\\\

Both are equal to the same value, which means dividing them gets us 1


\tan(45^(\circ)) = (\sin(45^(\circ)))/(\cos(45^(\circ))) = 1

What is tan 45°? A. √3 OB. 1 C. -~ D. √ OD. E. 1 2-example-1
User Abudis
by
8.9k points

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