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TRIGONOMETRY - Angles
Trigonometry began as a study of the right triangle. It was discovered that certain
relationships between the sides of the right triangle could be used to find the
measurement of the angles in the given triangle. Trigonometry has expanded into
technology and is used to describe radio and television waves and is used by the
military in sonar and sniper applications.
TRIGONOMETRY - Angles
Trigonometry began as a study of the right triangle. It was discovered that certain
relationships between the sides of the right triangle could be used to find the
measurement of the angles in the given triangle. Trigonometry has expanded into
technology and is used to describe radio and television waves and is used by the
military in sonar and sniper applications.
To begin, we need to identify some parameters.
TRIGONOMETRY - Angles
Trigonometry began as a study of the right triangle. It was discovered that certain
relationships between the sides of the right triangle could be used to find the
measurement of the angles in the given triangle. Trigonometry has expanded into
technology and is used to describe radio and television waves and is used by the
military in sonar and sniper applications.
To begin, we need to identify some parameters.
Θ – the Greek letter theta, used to identify ( name ) an angle
TRIGONOMETRY - Angles
Trigonometry began as a study of the right triangle. It was discovered that certain
relationships between the sides of the right triangle could be used to find the
measurement of the angles in the given triangle. Trigonometry has expanded into
technology and is used to describe radio and television waves and is used by the
military in sonar and sniper applications.
To begin, we need to identify some parameters.
Θ – the Greek letter theta, used to identify ( name ) an angle
Initial side – where the angle starts ( usually the + side of the x – axis )
Terminal side – where the angle ends
θ
Initial side
TRIGONOMETRY - Angles
Trigonometry began as a study of the right triangle. It was discovered that certain
relationships between the sides of the right triangle could be used to find the
measurement of the angles in the given triangle. Trigonometry has expanded into
technology and is used to describe radio and television waves and is used by the
military in sonar and sniper applications.
To begin, we need to identify some parameters.
Θ – the Greek letter theta, used to identify ( name ) an angle
Initial side – where the angle starts ( usually the + side of the x – axis )
Terminal side – where the angle ends
Vertex – where the initial and terminal sides meet
vertex
θ
Initial side
TRIGONOMETRY - Angles
Trigonometry began as a study of the right triangle. It was discovered that certain
relationships between the sides of the right triangle could be used to find the
measurement of the angles in the given triangle. Trigonometry has expanded into
technology and is used to describe radio and television waves and is used by the
military in sonar and sniper applications.
If an angle is measured counterclockwise, it is a POSITIVE angle
θ
Initial side
TRIGONOMETRY - Angles
Trigonometry began as a study of the right triangle. It was discovered that certain
relationships between the sides of the right triangle could be used to find the
measurement of the angles in the given triangle. Trigonometry has expanded into
technology and is used to describe radio and television waves and is used by the
military in sonar and sniper applications.
If an angle is measured counterclockwise, it is a POSITIVE angle
If an angle is measured clockwise, it is a NEGATIVE angle
θ
Initial side
TRIGONOMETRY - Angles
Conventional geometric measure of an angle is done in degrees. Trigonometry uses
radians to measure angles. Since we are rotating a terminal side away from an initial
side around a vertex ( center ), radian measure is based on a circle with a radius of 1.
TRIGONOMETRY - Angles
Conventional geometric measure of an angle is done in degrees. Trigonometry uses
radians to measure angles. Since we are rotating a terminal side away from an initial
side around a vertex ( center ), radian measure is based on a circle with a radius of 1.
Circle = 360⁰
1
TRIGONOMETRY - Angles
Conventional geometric measure of an angle is done in degrees. Trigonometry uses
radians to measure angles. Since we are rotating a terminal side away from an initial
side around a vertex ( center ), radian measure is based on a circle with a radius of 1.
Circle = 360⁰
θ
1
TRIGONOMETRY - Angles
Conventional geometric measure of an angle is done in degrees. Trigonometry uses
radians to measure angles. Since we are rotating a terminal side away from an initial
side around a vertex ( center ), radian measure is based on a circle with a radius of 1.
Circle = 360⁰
θ
1
TRIGONOMETRY - Angles
Being able to convert from degrees to radians ( and vice versa ) will be critical.
Below are the formulas for each type.
Degrees to radians :
Radians to degrees :
TRIGONOMETRY - Angles
Being able to convert from degrees to radians ( and vice versa ) will be critical.
Below are the formulas for each type.
Degrees to radians :
Radians to degrees :
EXAMPLE # 1 : Convert 80⁰ to radians
TRIGONOMETRY - Angles
Being able to convert from degrees to radians ( and vice versa ) will be critical.
Below are the formulas for each type.
Degrees to radians :
Radians to degrees :
EXAMPLE # 1 : Convert 80⁰ to radians
TRIGONOMETRY - Angles
Being able to convert from degrees to radians ( and vice versa ) will be critical.
Below are the formulas for each type.
Degrees to radians :
Radians to degrees :
EXAMPLE # 1 : Convert 80⁰ to radians
TRIGONOMETRY - Angles
Being able to convert from degrees to radians ( and vice versa ) will be critical.
Below are the formulas for each type.
Degrees to radians :
Radians to degrees :
EXAMPLE # 1 : Convert 80⁰ to radians