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# Determining trigonometric ratios

I am relatively new to the concepts of trigonometry but have stumbled upon a problem. Is there an actual method to determine values of sine, cosine and tangent without using calculators?

Note by Sharky Kesa
4 years, 3 months ago

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It depends on the angle you're looking at. Could you be a bit more specific? I don't want to go into too much detail.

- 4 years, 3 months ago

I mean angles under 180 degrees. I am asking for the actual method or formula to determine the values.

- 4 years, 3 months ago

it depends on what values are you searching. Some values like 30, 45, 60, 18, 36, 54, 72 and their relatives in the other quafdrants can be determined using basic geometry basic geometry, other ones can be also found using trigonometry relations

- 4 years, 3 months ago

say, like 52 or 18. Do they share a common method?

- 4 years, 3 months ago

Well, 30, 45, and 60 are the basic ones. For 52 or 18, look up info about the golden ratio and these numbers.

- 4 years, 3 months ago

Similarly, any multiple or half-angle thereof can be found in terms of algebraic expressions.

- 4 years, 3 months ago