Question

Directions: Post your answer to this question in your Unit 8: Journal 1.

3
If sin(ZA)
and cos(LA)
what is tan(ZA)?
Hint: Use the definitions of the trig ratios. It might also help if you draw the
right triangle
Describe your reasoning into finding the answer to the question.

Answer 1

Tan(∠A) is 4/3.

Explanation:

To answer this question, we first need a basic understanding of sin, cos, and tan. The sin of an angle is the opposite over hypotenuse, the cos is adjacent over hypotenuse, and the tan is the opposite over adjancent.

Since sin(∠A) is 4/7, that makes 4 the opposite and 7 the hypotenuse.

Since cos(∠A) is 3/7, that makes 3 the adjacent the 7 the hypotenuse again.

So to get tan(∠A), we just have to put 4/3 since that is the opposite over the adjacent.