123k views
3 votes
If sec a = 5/4, evaluate 1 -tan a/1 + tan a

1 Answer

3 votes

Answer:


(1)/(7)

Explanation:

Firstly, we can create a right triangle with angle a,

This triangle has a hypotenuse of 5 and an adjacent side of 4.

Using the Pythagorean theorem, we can find that the opposite side is 3

Now that we have the opposite side, we can find the value of tan(a), which is the opposite side over the adjacent side, or
(3)/(4)

Once we substitute in our value for tan(a), we can simplify in order to find the value of our equation


(1-tan(a))/(1+tan(a)) \\\\(1-(3)/(4) )/(1+(3)/(4) ) \\\\((1)/(4) )/((7)/(4) ) \\\\(1)/(4) *(4)/(7) =(1)/(7)

User Red Mak
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories