Yes
yes they do
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For navigational purposes
Yes.
One example of an astronomer's use of trigonometry is determining the distance to a star by triangulation.
They use complicated trigonometry and mathematics.
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Astronomers use the method of parallax to determine the distance to relatively close stars like Sirius. By measuring the apparent shift in position of the star as the Earth moves around the Sun, astronomers can calculate the star's distance based on trigonometry.
how can trigonometry use in metallurgy
Well, if Edward Cullen the bloodsucking vampire can use trigonometry. Then I am asuming farmers can as well.
Mechanics use trigonometry to find angles mostly used in body or chassis work.
The first recorded use of trigonometry came from the Hellenistic mathematician Hipparchus
An architect who designs a bridge would use trigonometry, among other mathematical techniques.
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yes they do
Yes.