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Group Activity

The document outlines tasks for three groups on topics related to trigonometry and geometry. Group 1 is asked to find angle measures of triangles using a protractor. Group 2 is tasked with solving right triangles using trigonometric ratios. Group 3 must state the six primary trigonometric ratios for 45 degree triangles.

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55 views8 pages

Group Activity

The document outlines tasks for three groups on topics related to trigonometry and geometry. Group 1 is asked to find angle measures of triangles using a protractor. Group 2 is tasked with solving right triangles using trigonometric ratios. Group 3 must state the six primary trigonometric ratios for 45 degree triangles.

Uploaded by

arnelparsacala012
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Group 1

Group Members

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Task: Determine the exact length of the hypotenuse using the Pythagorean Theorem.
Group 2

Group Members

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Task: Label the hypotenuse and all other sides and angles.
Group 3

Group Members

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Task: Write the primary trigonometric ratios for 45 ° (SOH-CAH-TOA)


Group 1 C.
Direction: Together with your group, do the activity, and use a protractor to
find the measures of the angles of the triangle.

A.

1. ∠L = _____
2. ∠M = _____
3. ∠N= _____

1. ∠A = _____
2. ∠B = _____
3. ∠C = _____
B.

1. ∠D = _____
2. ∠E = _____
3. ∠F = _____
Group 2 C. Given:

Direction: Find the length of the indicated side. Remember the right
triangle theorem.

A. Given:

If t=3 √ 3

Find the value of s.

Find the value of m.

B. Given:

Find the value of r.


Group 3 sin 45 ° =¿ ¿ sec 45 °=¿ ¿
cos 45 °=¿ ¿ csc 45 °=¿ ¿
Direction: Given the angles of the triangles below, find the values of
tan 45 °=¿ ¿ cot 45° =¿ ¿
the six trigonometric ratios. Write the six trigonometric ratios with
rationalized denominators.
C. Let a be the leg of 45 ° −60 °−90 ° Triangle.
A. Let a be the leg of 30 °−60 °−90° Triangle.

sin 30 °=¿ ¿ sec 30 °=¿ ¿ sin 60 °=¿ ¿ sec 60 °=¿ ¿ ¿


cos 30 °=¿ ¿ csc 30 °=¿ ¿ cos 60 °=¿ ¿ csc 60 °=¿ ¿
tan30 ° =¿ ¿ cot 30 ° =¿ ¿ tan60 ° =¿ ¿ cot 60 ° =¿ ¿

B. Let a be the leg of 45 ° −45 °−90 ° Triangle.


Group 1 Group 2

Case 1: (Error analysis) Case 2: (Formulating own problem)


Agnes drew the triangle below. Gina said that Write a real-life problem that you can solve
the lengths couldn’t be correct. With which using 30 °−60 °−90° triangle with a 12-meter
student do you agree? Explain your answer. hypotenuse. Illustrate the problem with your
complete solution.
Given:

Find:

Solution:
Given:

Find:

Solution:
Group 3

Case 3: (Geometry in 3 dimensions)


Find the length of d, the diagonal of a cube.
a. Calculate the diagonal for side length 5 units.
b. Calculate the diagonal for the side length 7
units.
Use the formula for the diagonal of a cube,
which is d= √ 3 side length.
Given:

Find:

Solution:

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