Gebze Institute of Technology Department of Architecture

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Special Right Triangles

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Presentation transcript:

Gebze Institute of Technology Department of Architecture MAT119 Asst. Prof. Ferhat PAKDAMAR (Civil Engineer) M Blok - M106 pakdamar@gtu.edu.tr Fall – 2014 Week 9

Right Triangles and Vectors Pythagorean Theorem Pythagorean Triples Special Triangles Trigonometric Functions and Special Angles Trigonometric Function Values in Quadrants II, III, IV Graphs of Trigonometric Functions Vectors, Operating with Vectors

Vectors

Vectors

Addition of Vectors 𝑠𝑖𝑛𝐴 𝑄 = 𝑠𝑖𝑛𝐵 𝑅 = 𝑠𝑖𝑛𝐶 𝑃

Addition of Vectors cnt’d

Sample (adding vectors)

Sample (adding vectors) cnt’d

Sample (adding vectors) cnt’d

Unit Vectors

Addition of vectors by summing Components

Sample (adding vectors by summing components)

Sample (adding vectors by summing components) cnt’d

Rectengular Components in Space

Rectengular Components in Space ctn’d

Rectengular Components in Space ctn’d

Sample

Sample cnt’d

Sample cnt’d

Thank You