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Advanced Functions Unit Circle Trig Quiz Review Name___ 1.Mark the angle and label the ordered pair.a.b.c.d.2. Evaluate the six trig functions at the given . a. 6 sin ___csc ___cos ___sec ___tan ___cot
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How to fill out six trig values for
How to fill out six trig values for
01
To fill out the six trig values for a given angle, follow these steps:
02
Identify the given angle.
03
Determine the reference angle, which is the acute angle formed between the terminal side of the angle and the x-axis.
04
Calculate the values for sine, cosine, and tangent by using the ratios of the sides of a right triangle.
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- Sine (sin) is equal to the ratio of the length of the opposite side to the length of the hypotenuse.
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- Cosine (cos) is equal to the ratio of the length of the adjacent side to the length of the hypotenuse.
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- Tangent (tan) is equal to the ratio of the length of the opposite side to the length of the adjacent side.
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Calculate the values for cosecant, secant, and cotangent by taking the reciprocals of sine, cosine, and tangent, respectively.
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- Cosecant (csc) is the reciprocal of sine, so csc = 1/sin.
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- Secant (sec) is the reciprocal of cosine, so sec = 1/cos.
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- Cotangent (cot) is the reciprocal of tangent, so cot = 1/tan.
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Substitute the values of the angle and its reference angle into the trigonometric functions to find the respective values.
Who needs six trig values for?
01
Understanding and working with the six trig values (sine, cosine, tangent, cosecant, secant, and cotangent) is essential for anyone studying or working in fields related to trigonometry or geometry.
02
Some specific examples of who needs six trig values are:
03
- Students studying mathematics, physics, or engineering.
04
- Architects and engineers who need to calculate angles and distances in their designs.
05
- Surveyors who need to measure and analyze land or structures.
06
- Musicians and sound engineers who work with audio frequencies and waveforms.
07
- Pilots and navigators who need to calculate distances and angles while flying or navigating on water.
08
- Astronomers and physicists who study celestial objects and their movements.
09
- Computer graphics designers who work with 3D modeling and animation.
10
These are just a few examples, but the six trig values have applications in various fields where angles and distances are involved.
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What is six trig values for?
The six trig values refer to the six trigonometric ratios used in mathematics: sine, cosine, tangent, cosecant, secant, and cotangent. They are essential for understanding the relationships between the angles and sides of triangles.
Who is required to file six trig values for?
Typically, students and professionals in mathematics, physics, engineering, and other related fields are required to understand and apply six trig values.
How to fill out six trig values for?
To fill out six trig values for a given angle, you need to calculate the ratios based on the lengths of the sides of a right triangle or use the unit circle for angles not specific to right triangles.
What is the purpose of six trig values for?
The purpose of the six trig values is to facilitate the analysis of periodic phenomena, solve problems involving triangles, and provide insights in various fields like engineering and physics.
What information must be reported on six trig values for?
When reporting six trig values, the angle of interest and the corresponding sine, cosine, tangent, cosecant, secant, and cotangent values must be included.
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