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Lesson 12: Sine How did you do on that last worksheet? Is finding the opposite side and adjacent side of an angle superduper easy for you now? Good, now I can show you why I wanted you to learn that
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To fill out using trigonometry to find, follow the steps below:
02
Identify the problem or question that requires the use of trigonometry.
03
Determine which trigonometric function (sine, cosine, or tangent) should be used based on the given information.
04
Draw a diagram or sketch that represents the problem or situation.
05
Label the known and unknown quantities on the diagram.
06
Use the appropriate trigonometric formula or relationship to set up an equation.
07
Substitute the known values into the equation and solve for the unknown value.
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Check your solution by ensuring it makes sense in the given context.
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Round your answer to the appropriate number of significant figures, if necessary.
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Clearly state your final answer with the appropriate units, if applicable.

Who needs using trigonometry to find?

01
Trigonometry is used by various professionals and individuals in fields such as:
02
- Engineering: Engineers use trigonometry to design and build structures, analyze forces and tensions, and solve problems related to angles and distances.
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- Physics: Trigonometry is essential in physics for studying wave phenomena, vibrations, electromagnetic waves, and more.
04
- Architecture: Architects utilize trigonometry to create accurate blueprints, calculate angles for structures, and ensure stability.
05
- Navigation: Navigators and pilots use trigonometry for determining positions and distances, especially in aviation and maritime industries.
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- Astronomy: Astronomers rely on trigonometry to calculate the positions and movements of celestial objects.
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- Surveying: Surveyors use trigonometry to measure distances, angles, and elevations when mapping out land or property.
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- Mathematics: Trigonometry is a branch of mathematics itself, and mathematicians often explore and research trigonometric functions and identities.
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- Everyday Life: Trigonometry can be applied in everyday situations such as determining heights of buildings, measuring angles in sports, or analyzing sound and light waves.
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Using trigonometry is primarily to find the relationships between angles and sides of triangles, and to solve problems involving heights, distances, and angles.
Individuals or professionals in fields like engineering, physics, architecture, and mathematics may be required to use trigonometry to find solutions relevant to their applications.
To fill out using trigonometry, you should identify the triangle in question, determine the known angles and sides, and apply the appropriate trigonometric ratios or laws to find the unknown values.
The purpose of using trigonometry is to solve real-world problems involving spatial relationships, such as measuring heights, distances, and angles in various fields.
Information that should be reported includes the angles, lengths of sides, the calculations made, and the final results relevant to the problem being solved.
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