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Trigonometry is used in design of everything from buildings to instruments to appliances. It is also used in electronics, acoustics, EM radiation, flight, navigation, projectile motion, and nearly every every application of waves and forces in physics and engineering.
Depending on your career, you may or may not need trigonometry. If your job does not require a lot of math, it is unlikely that you will use trigonometry very often, however, this is not a reason not to study it. The skills and discipline developed in your trigoometry class will help you no matter what career you choose.
Suppose you want to get from your house, located on the south-west corner of a field (rectangular shaped), to your friend's house, located in the north-east corner of the field. You can follow a road 4 miles East then 5 miles North for a total of 9 miles. You want to know how far it would be to get to your friend's house if you walked across the field. By pythagoras's theorem you know the distance from your house to your friend's house is sqrt(4^2+5^2)=6 miles. So going across the field saves 3 miles. that's your answer please ask another question we know everything
People who wanted to apply complex Algebra to real world concepts, like equations of a slope on a bridge founded analytic geometry.
h^(2) = a^(2) + b^(2). In words, 'The hypotenuse square is equal to the sum of the squares other two sides'.