Porfolio and Reflections, Slides of Trigonometry

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University of Southeastern Philippines

M 123 M 123

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GONO, JAYLYKA MAE B. BSED-MATH 1 PROF. YVONNE MAGSAYO KIEL TRIGONOMETRY PROFESSOR

2nd Semester2nd Semester M 123 Trigonometry M 123 Trigonometry Class of 2021- BSEd-Mathematics 1 BSEd-Mathematics 1

CCoontents ntents

Angles and their measurementsAngles and their measurements

Trigonometric Functions of Angles Trigonometric Functions of Angles

Trigonometric Function Values Trigonometric Function Values

Solutions of Right Triangles Solutions of Right Triangles

Composite Figures Composite Figures

Law of Sines Law of Sines

Law of Cosines Law of Cosines

The Sine and Cosine of Real Numbers The Sine and Cosine of Real Numbers

Graphs of Sine, Cosine and other Sine Waves Graphs of Sine, Cosine and other Sine Waves

Applications of sine and cosine to periodic phenomena Applications of sine and cosine to periodic phenomena

The Eight Fundamental Identities The Eight Fundamental Identities

Proving Trigonometric Identities Proving Trigonometric Identities

Sum and Difference identities Sum and Difference identities

Double-Measure and Half-Measure Identities Double-Measure and Half-Measure Identities

Identities of product, Sum and difference of Sine and Cosine Identities of product, Sum and difference of Sine and Cosine

Inverse Trigonometric Functions Inverse Trigonometric Functions

Trigonometric Equations Trigonometric Equations

Polar coordinates Polar coordinates

Monday February 7, 2022 Our firstOur first^ virtual meet with Prof. Yvonne Kiel in M 123 Trigonometryvirtual meet with Prof. Yvonne Kiel in M 123 Trigonometry subject. We were oriented for the supposed flow of the class and subject. We were oriented for the supposed flow of the class and also the designation of reports was further discussed. And prior toalso the designation of reports was further discussed. And prior to that, we were given a review activity to recall basic terms andthat, we were given a review activity to recall basic terms and terminologies which is related to our subject. terminologies which is related to our subject.

Tuesday February 15, 2022 Prof. Kiel sends us the final sequence and the Prof. Kiel sends us the final sequence and the designation of reports through messenger. We also had designation of reports through messenger. We also had a short briefing regarding to the presentation flow of a short briefing regarding to the presentation flow of each reporters. The meet lasts for almost 20 minutes. each reporters. The meet lasts for almost 20 minutes.

Thursday February 17, 2022 Angles and their measurements Angles and their measurements -Camille Templa and Princess Valderama -Camille Templa and Princess Valderama What I learned?

In this lesson, I learned how to convert radian to

degrees and vice versa. Convert decimals into degrees,

minute, seconds. And lastly, I also learned how to

determine the types of angles and solve problems

involving area of a sector and arc lengths.

Tuesday February 23, 2022 Group Activity: Group Activity: Angles and their Measurements Angles and their Measurements Gono, Jaylyka Basanal, Nica Reyes, Queen Amancio, Luiza Jean Group Members:

Thursday February 24, 2022 Trigonometric Function of Angles Trigonometric Function of Angles -Jerwin Lauglaug & Leonel Urgel -Jerwin Lauglaug & Leonel Urgel What I learned? In this meeting, we were taught about the six basic trigonometric ratios and how to determine these ratios according to the sides of the triangle. We were asked to find sine, cosine, tangent and its reciprocals that requires us in locating the hypotenuse, adjacent and opposite side of a triangle.

Thursday March 10, 2022 Quiz no. 2 Quiz no. 2 Trigonometric Function Values Trigonometric Function Values Score:

Tuesday March 15, 2022 Solutions of Right Triangles Solutions of Right Triangles

-Edgar Coresis, Chariz Turing & Marjorie Dagohoy -Edgar Coresis, Chariz Turing & Marjorie Dagohoy

What I learned? In this meeting, we were taught on how to calculate inverse trigonometric functions using a scientific calculator. In this way, we were able to determine the missing sides or angles of any problems that involves right triangles. We were also headed to find solutions and evaluate the angle of depression and the angle of elevation.

tuesday March 21, 2022 Group Activity: Group Activity: Solutions of Right Triangles Solutions of Right Triangles Gono, Jaylyka Lausa, Mariel Jane Juan, Rose Ann Turing, Chariz Urgel, Leonel Group Members:

tuesday March 22, 2022 Ms. Kiel took over the class to discuss how to solve for the right triangle Ms. Kiel took over the class to discuss how to solve for the right triangle including the sides and finding the measurement of angles in a composite including the sides and finding the measurement of angles in a composite figure. She then further discussed all about the bearing, angle of figure. She then further discussed all about the bearing, angle of depression and angle of elevation using word problem examples. depression and angle of elevation using word problem examples.

Saturday March 26, 2022 Quiz no. 3: Quiz no. 3: Solutions of Right Triangles Solutions of Right Triangles Score:

thursday March 31, 2022 Law of cosines Law of cosines -Kembery Fuentes & Angel Menoza -Kembery Fuentes & Angel Menoza What I learned? In this meeting, we were able to manipulate the formula or the laws of cosines in finding unknown quantities and when or how to use them in a certain situation. This applies to all of the oblique triangles with a given side-angle-side (SAS), or side-side-side (SSS) to determine the missing sides or the cosine of an unknown angle.