1.4 Trigonometry

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# 1.4 Trigonometry - PowerPoint PPT Presentation

1.4 Trigonometry. Sine, Cosine, and Tangent. Sine, Cosine, and Tangent. Sine, Cosine, and Tangent. Pythagorean Theorem. What if the triangle is not a right-triangle?. Law of Cosines and Law of Sines. Law of cosines is given by, . Law of sines is given by,. 1.5  Scalars and Vectors.

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## 1.4 Trigonometry

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Presentation Transcript
Law of Cosines andLaw of Sines

Law of cosines is given by,

Law of sines is given by,

1.5 Scalars and Vectors

Many physical quantities are used in physics, which are divided into scalars and vectors.

1.5 Scalars and Vectors

Many physical quantities are used in physics, which are divided into scalars and vectors.

A scalar quantity is one that can be described by a single number (including any units) giving its size or magnitude.

Examples: Time, volume, mass, temperature, and density.

1.5 Scalars and Vectors

Many physical quantities are used in physics, which are divided into scalars and vectors.

A scalar quantity is one that can be described by a single number (including any units) giving its size or magnitude.

Examples: Time, volume, mass, temperature, and density.

A quantity that deals inherently with both magnitude and direction is called a vector quantity.

Examples: Force, weight, velocity, and displacement.

Vector Illustration

Consider the following displacement vector of a car:

Vector Illustration

Consider the following displacement vector of a car:

The length of the vector arrow is proportional to the magnitude of the vector and the arrow represents the direction.

Vector Illustration

Consider the following displacement vector of a car:

The length of the vector arrow is proportional to the magnitude of the vector and the arrow represents the direction.

In the text, bold face is used for vectors and italics is used for scalars. When hand written an arrow is placed above the symbol.

Addition of two co-linear displacement vectors A and B, both are due East. (A = 275-m, B = 125-m)

What if vector B (125-m) is due West?

What if vector B is 275-m, due West?