How do you use the point (7,10) on the terminal side of the angle to evaluate the six trigonometric functions?

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How do you use the point (7,10) on the terminal side of the angle to evaluate the six trigonometric functions?

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Answer 1 · 2016-08-18T04:55:43

Find 6 trig functions

Explanation:

Call M the point (7, 10) and O the origin.
The radius OM make an angle a with the axis Ox, that:
$tan a = 7/10$
The length of hypotenuse OM = R is:
$R^2 = (7)^2 + (10)^2 = 49 + 100 = 149$ --> $R = 12.21$
$sin a = 7/12.21 = 0.57$
$cos a = 10/12.21 = 0.82$
$tan a = 7/10$
$cot a = 10/7$
$sec a = 1/0.57 = 1.75$
$csc a = 1/0.82 = 1.22$

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How do you use the point (7,10) on the terminal side of the angle to evaluate the six trigonometric functions?

1 Answer

Explanation:

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