Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the a

Question

umka2103 [35]

2 years ago

7

Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the a

ngle

Mathematics

1 answer:

Karolina [17] · Answer 1 · 2022-07-17T11:38:21+03:00

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75