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How do you give the six trigonometric function values of 5pi/3?

Answer 1

Start by determining the value of 5pi/3

#(5(180))/3 = 300°#

This is how the diagram looks like on the graph

Notice that it is in the fourth quadrant as well as the label c indicates the cosine value of this function will be positive while the others are negative.

Now, using your knowledge on special right triangles, you may solve the following, sine, cosine, tangent;

SOH CAH TOA

#sin = (opposite)/(hypotenous)#

#cos = (adjacent)/(hypotenous)#

#tan = (opposite)/ (adjacent)#

And the inverse of each trigonometry identity simply requires you to flip the signs over.

#ctc = (adjacent)/(opposite)# - the inverse of tangent

#sec = (hypotenous)/(adjacent)# - the inverse of cosine

#csc = (hypotenous)/(opposite)# - the inverse of sine

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.