Question

5. What is the value of tan 45°?

(Points : 1)
Option A: √2/2

Option B: √3/2

Option C: 1

Option D: √3

Answer 1

this one is diffrent b/c the last one asked for the cos and this one asks for the tan

Answer 2

any clues?

Answer 3

no - sory im utterly an official failer when it comes to this >.>

Answer 4

find 45 degrees on the unit circle of the last page of the attached cheat sheet

Answer 5

you will see a coordinate, it should look like this
\[(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})\]

Answer 6

the first coordinate is cosine, so \(\cos(45)=\frac{\sqrt{2}}{2}\)

Answer 7

the second coordinate is sine, so
\[\sin(45)=\frac{\sqrt{2}}{2}\]

Answer 8

right but im not sure what the tan is thats were i get confused

Answer 9

and finally the tangent is \(\frac{\sin(x)}{\cos(x)}\)
in this case since they are the same, you get
\[\tan(45)=1\]

Answer 10

oh i see cool ^.^ this makes sence but im stuck on a diffrent question could you help me, im not sure if it goes along with this way of mathmatical term.

Answer 11

sure go ahead and ask

Answer 12

On a baseball diamond,1st base, 2nd base, 3rd base, and home plate form a square. If the ball is thrown from 1st base to 2nd base and then from 2nd base to home plate, how many feet has the ball been thrown?

(Points : 1)
Option A: 90√2

Option B: 180√2

Option C: 90+90√2

Option D: 270√2

Answer 13

the diagonal from second to home is merely the hypotenuse of a right triangle with equal sides of 90 ft.

use the Pythagorean Theorem for a square: s^2 + s^2 = d^2

solving for d: 2s^2=d^2 or d=[2s^2]^1/2 or d=1.414s

okay, the ball goes 90 feet from 1st to 2nd, and 1.414(90 feet) from 2nd to home.

that's a total of 217.3 feet.

Answer 14

first to second is \(90\) then second to home is the diagonal of a square with side \(90\) so that length is \(90\sqrt{2}\) and your answer is
\[90+90\sqrt{2}\]

Answer 15

thank you so so much

Answer 16

yw

Answer 17

keep that cheat sheet, it is very useful for this trig stuff