Question
Asked Nov 5, 2019
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A rectangular strip of paper of width 4 inches is folded on the dashed line. See the diagram. Certain angles are angled to help solve solutions in part a (show that triangle T is similar to triangle S, answer attached in photos) and part C:

part C: use the diagram to show that tan^-1 2sqrt2 + 2tan^-1 sqrt2 = pi (radians).

 

Use only the diagram, basic angle facts, and the definitions of tan and tan^-1. In particular, do not use a calculator. 

Thus, ZA = ZB = 90, ZECB = ZAEF, ZBEC = ZAFE
Hence, we can say, ABEC ~ sAFE
Or, in other words, triangle T is similar to triangle S
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Thus, ZA = ZB = 90, ZECB = ZAEF, ZBEC = ZAFE Hence, we can say, ABEC ~ sAFE Or, in other words, triangle T is similar to triangle S

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Ва
T
b
C
с
S
4
Пь
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Ва T b C с S 4 Пь

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Expert Answer

Step 1

A rectangular strip of paper of width 4 inches is folded on the dashed line.

Step 2

From the geometry, the angles µ and σ are in linear, so

90 = 180
LL =90
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90 = 180 LL =90

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Step 3

Taking tan of bo...

tan (u)tan (90-o
tan(90)- tan (o)
1tan (90) tan(o)
tan (u)
tan(o
tan (90)
1
+tan(o)
tan (90)
tan (u)
1-0
tan (4)
0+tan(o
1
tan (u)
tan (o
tan (u)tan (o)1
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tan (u)tan (90-o tan(90)- tan (o) 1tan (90) tan(o) tan (u) tan(o tan (90) 1 +tan(o) tan (90) tan (u) 1-0 tan (4) 0+tan(o 1 tan (u) tan (o tan (u)tan (o)1

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Math

Trigonometry