# How do you find the values of all six trigonometric functions of a right triangle ABC where C is the right angle, given a=20, b=21, c=29?

Use the identities.

The answers you come up with are going to depend on whether you're evaluating

We are given the lengths of all sides.

Drawing a model at this point is helpful.

We know the identities of the three normal trig functions:

SOH

CAH

TOA

We can just substitute in our values:

#sinA = 20/29# #cosA = 21/29# #tanA = 20/21#

And flip them for the inverse functions.

#cscA = 29/20# #secA = 29/21# #cotA = 21/20#

We could easily do the same for

#sinB = 21/29# #cosB = 20/29# #tanB = 21/20# #cscB = 29/21# #secB = 29/20# #cotB = 20/21#

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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.

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.

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.

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