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Unveiling the Secrets of
Trigonometry
Trigonometry is a branch of mathematics that studies the relationships
between angles and sides of triangles It s a powerful tool used in various
fields from engineering and architecture to physics and astronomy Get
ready to delve into the fascinating world of angles ratios and the power of
trigonometry

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by M
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Adithiyaa

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The Building Blocks of Trigonometry: Right
Triangles
Right Triangles

Angles and Sides

A right triangle is the foundation of trigonometry
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The side opposite the right angle is called the
hypotenuse, which is the longest side
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Trigonometric functions relate the angles of a right triangle to
the lengths of its sides
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These
functions are ratios of the sides of a right triangle, and they are
used to find missing sides and angles
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You can use the angle of elevation

(the

angle between your line of sight and the horizontal) and the distance from the building to calculate its height

using trigonometric ratios
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Exploring the Unit Circle

0

90

Degrees

Radians

The unit circle is a circle with a radius of 1 unit centered at the
origin of a coordinate plane
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Angles on the unit circle are typically measured in radians,
which are a different way to measure angles
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180

270

Coordinates

Trigonometric Values

Every point on the unit circle can be represented by its
coordinates (x, y)
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The values of sine, cosine, and tangent for each angle on the
unit circle can be found using the coordinates of the points on
the circle
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