# Determine the exact values of the trigonometric functions of the acute angle A, given tan A =3/7 ?

see explanation

Tan A = 3/7 specifies a right triangle with base = 7, height = 3.

(because by definition Tan A = height/base).

And with this information, you can calculate the other trig values for the triangle:

...and, as a final sanity check, you can use the alternate definition for Tan A:

...which checks out.

I won't calculate sec a, csc a, cot a for you, you should be able to take it from here, since:

GOOD LUCK

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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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