2. Show the construction of the 30°: 60°: 90° triangle. Use words when necessary. Use the triangle to find: TT TT sin-- tan 30° + sec 6 3.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 22E
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How do you solve it and can you show me step by step

2. Show the construction of the 30°: 60°: 90° triangle. Use words when necessary.
Use the triangle to find:
TT
TT
sin-- tan 30° + sec
6
3.
Transcribed Image Text:2. Show the construction of the 30°: 60°: 90° triangle. Use words when necessary. Use the triangle to find: TT TT sin-- tan 30° + sec 6 3.
Expert Solution
Step 1

Draw a line AB. 

At the point A plot the protractor and draw 90 degree. 

At point B again plot the protractor and draw 30 degree (as shown in the diagram)

Since the sum of the angles of a triangle is 180 degree, so the third angle will be (180-90-30)= 60 degree automatically. 

You may use compass too, to draw the 90 degree and 30 degree

Trigonometry homework question answer, step 1, image 1
Step 2

pi = 180 degree 

So, pi/6 = 180/6= 30 degree 

pi/3 = 180/3= 60 degree

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