sin θ
opp/ hyp
In trigonometry, sin θ (pronounced as sine theta) is a mathematical function that relates the opposite side of a right-angled triangle to its hypotenuse. It is defined as follows:
sin θ = opposite side / hypotenuse
Here, θ (pronounced as theta) is the angle opposite to the opposite side in the triangle.
For example, in the below right-angled triangle:
/|
/ |
h / | o
/ θ|
/___|
a
where θ is the angle, h is the hypotenuse, and a is the side adjacent to θ, sin θ is given by:
sin θ = o / h
Therefore, sin θ represents the ratio of the length of the opposite side to the hypotenuse in the right-angled triangle. It is a fundamental trigonometric function and is used extensively in various fields of mathematics and engineering. It is also used to calculate angles and distances in real-world problems.
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