How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through (0.3, 0.4)?

1 Answer
F. Javier B.
Feb 1, 2018

See explanation below

Explanation:

If terminal side passes trhough (0.3, 0.4), then theta is such that
tan theta=0.4/0.3=4/3
Because tan theta=sin theta/cos theta and cos theta=sqrt(1-sin^2 theta) then cos theta=3/sqrt15 and sin theta= sqrt10/5.
Following definitions:
cot theta=3/4, sec theta= sqrt15/3 and csc theta=5/sqrt10

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