How do you evaluate the sine, cosine, and tangent of the angle 53 degrees without using a calculator?

1 Answer
Gió
Jul 10, 2015

I would try using a thing called expansion in series:

Explanation:

Basically the value of your trigonometric function is found simply adding terms that are easy to manipulate (each term is a fraction involving your angle in radians that is "easy" to evaluate).

You first need to consider your angle in radians:
#x=53^o=0.9250 rad#

Than you use these expansions for #sin# and #cos# and the relationship between them and #tan# as:
https://en.wikipedia.org/wiki/Taylor_series
Using them you get:
enter image source here

Hope it helps!

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