Media Pembelajaran Trigonometri || Jari Trigonometri (Jargonometri)

Summary

This educational video explains how to use a learning tool to simplify trigonometric concepts like sine, cosine, and tangent. The presenter demonstrates how to determine the values of cosine for angles like 315° and sine for angles like 150°, using physical representations such as hand gestures and arrows on a chart. The video emphasizes how to interpret the positive or negative values of trigonometric functions through visual aids. It also briefly covers the calculation of tangent using the sine and cosine formula. The goal is to make trigonometry more accessible for students.

Takeaways

• 😀 The video introduces a learning media tool for trigonometry, called 'jargonometri,' to help students understand trigonometric functions easily.
• 😀 The media tool uses physical analogies, such as the palm of the hand, to represent trigonometric functions like cosine (cos) and sine (sin).
• 😀 The example demonstrates how to find the value of cos for 315°, using the analogy of the right palm and the middle line of the tool.
• 😀 For 315°, the value of cos is √2/2, and the direction of the arrow indicates whether the value is positive or negative. In this case, it’s positive.
• 😀 The tool visually demonstrates how to find the sine value, using the left palm as an analogy, with the value of sin for 150° being √2/2, which is positive.
• 😀 The script explains how the color of the arrow (blue for positive and red for negative) helps determine the sign of trigonometric values.
• 😀 A formula is introduced for calculating the tangent (tan) value: tan = sin/cos, with an example for tan 315°.
• 😀 When calculating tan for 315°, the negative sine value and the positive cosine value are used, resulting in a negative tangent value.
• 😀 The script emphasizes that the values for trigonometric functions are determined by both the magnitude and the direction (sign).
• 😀 The media tool aims to simplify the process of learning trigonometric functions, making it easier for students to visualize and understand key concepts.

Q & A

What is the purpose of the learning media mentioned in the video?

The learning media, referred to as 'Jargonometri' or 'Jari Trigonometri,' is designed to help students more easily understand and learn trigonometry.

How is the concept of 'cosine' explained in the video?

In the video, cosine (cos) is explained using a hand metaphor. The right palm represents the value of cos, and the cosine of 315° is demonstrated using a midpoint line. The value for cos 315° is given as 'half root 2' (1/√2), and the direction of the arrow (blue) indicates that this value is positive.

What does the blue arrow signify in the explanation of trigonometric values?

The blue arrow in the video indicates that the trigonometric value is positive. This is applied when determining values of cosine and sine, with the color of the arrow being used to signify whether the value is positive or negative.

How is sine (sin) explained in the video?

Sine (sin) is explained using the left palm, with the index finger representing the sine value. For example, the sine of 150° is shown by aligning the finger with the angle. The video demonstrates that sin 150° equals 1/2, and the arrow being blue indicates the value is positive.

What formula is used to calculate tangent (tan) in the video?

The formula used to calculate tangent (tan) in the video is tan = sin ÷ cos. The video uses this formula to find the value of tan for specific angles, such as 315°.

What is the value of tan 315° in the video?

To find tan 315°, the video first calculates sin 315° and cos 315°, which both have a value of -1/√2. Since tan = sin ÷ cos, the result for tan 315° is 1.

What does the red arrow indicate when calculating trigonometric values?

The red arrow in the video indicates that the trigonometric value is negative. For example, when calculating sin or cos for certain angles like 315°, the red arrow shows that the value is negative.

How is the value of sin 30° calculated in the video?

For sin 30°, the value is derived by using the board and aligning the angle with the appropriate position. The sine of 30° is shown as 1/2, and the reciprocal is used to demonstrate that the value is 2.

What is the relationship between sine and cosine in this learning media?

Sine and cosine are demonstrated as two related trigonometric functions, with the video showing how both values can be derived from the hand positions. The media provides a visual way to remember and calculate these values for different angles.

What educational purpose does this media serve?

This media serves an educational purpose by providing a visual and hands-on approach to learning trigonometry, particularly for students who may find abstract concepts like sine, cosine, and tangent difficult to grasp. The hand-based diagrams simplify these concepts into easily understandable formats.