Determine the exact values of the trigonometric functions of the acute angle A, given tan A =3/7 ?
2 Answers
see explanation
Explanation:
Tan A = 3/7 specifies a right triangle with base = 7, height = 3.
(because by definition Tan A = height/base).
The hypotenuse of the triangle is then
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
Explanation:
Given:
Use the identity
Use the identity
Using the identity
Using the identity
Use the identity