Question

Trigo problem #2

Answer 1

pi

Answer 2

well first thing you should do is find x = pi/2

Answer 3

to find the height of the triangle, then you need to find the x intercepts to find the length of the base

Answer 4

why is x=pi/2? I found it to be pi/6 and 11pi/6 ...

Answer 5

I meant for the x-ints

Answer 6

then you can just use the standard formula bh/2 to find the area

Answer 7

i found none of these

Answer 8

i found \(A=\frac{1}{2}\)

Answer 9

Well I found pi

Answer 10

oh i mean i did not find these for A and B and C

Answer 11

you would take x = pi/2, because that will give you the height of your triangle because it is at the triangles tip

Answer 12

everybody is getting different answers. lol

Answer 13

So, the answer is C, if it is correct

Answer 14

i did not find the answer yes
you need A and B and C
i got \(A=\frac{1}{2}\), \(C=3\), \(B=\pi-\frac{1}{2}\)

Answer 15

First you find the height of the triangle to be \(y=1\). Now you need to find the base. Since \[0=1-2\cos(2x)\]At \(x=\pi/6\), we know the base is \(2\cdot (\pi/2 -\pi/6)\) = \(2\pi/3\)

Answer 16

To find the area of the triangle, we multiply by height, which is 1, and divide by 2 to get \(\pi/3\).

Answer 17

i am way way wrong nvm

Answer 18

Oh, I got the answer thanks all :)

Answer 19

what was the answer??

Answer 20

height = 1-2cospi =3
Put y=0 into the equation
x=pi/6 or pi = 5pi /6
base = 4pi/6
Area = (4pi/6)(3)(1/2) = pi => that's the answer :)

Answer 21

looks like my little trick worked.

Answer 22

I derped.

Answer 23

@experimentX Would you mind sharing your little trick with us?

Answer 24

\(A=\frac{\pi}{6}, B = 3\) so the rectangle has base \(\frac{\pi}{3}\) and height 3 and area \(\pi\)

Answer 25

1-2cos(2(pi/2)) = 3
0 = 1-2cos(2x)
-1/2 = cos(2x)
cos(2x) is zero at pi/4 + npi where n is an Integer
thus we have roots

pi/4 and 5pi/4

so now we just need to subtract them to get the length of the base

5pi/4 - pi/4
=
4pi/4 is the length

pi is the length of the base and the height is pi/2

so A = (pi^(2)/2)/2
Area = pi^(2)/4

Answer 26

same as yours,
the max height would be 3(max value), that's obvious
now get one point on left by equating to zero,
since graph is symmetric, (pi/2 - pi/6)*2 must be base

Answer 27

lol made a mistake with final answer

Area = 3pi/2

Answer 28

@experimentX Then that's not a trick anymore lol

Answer 29

i will stick with \(\pi\)

Answer 30

thats how ffm works

Answer 31

i must have made a mistake in my calculations oh well :L

Answer 32

could be wrong, but i like \(\pi\)

Answer 33

@satellite73 it's correct :)

Answer 34

Height = 1-2cos(2(pi/2)) = 3

Base = 5pi/4 - pi/4 = pi

A = bh/2

A = 3pi/2

Answer 35

I just found out the answer is right in front of me... the pi pic :P

Answer 36

calculated the base of the rectangle via \(\frac{\pi}{2}-\frac{\pi}{6}=\frac{\pi}{3}\) and the height of the rectangle as \(3\) and area as \(3\times \frac{\pi}{3}=\pi\) should have listened to experimentx to begin with

Answer 37

Excuse me.. where is the rectangle?

Answer 38

how can the base be pi/2 - pi/6

Answer 39

the rectangle is the two triangles stuck together

Answer 40

Oh...I see... Nice trick @satellite73 very cute solution :)

Answer 41

ty

Answer 42

you guys win I'm wrong :)