Trigonometry

[narrow bone]

i’ve done it myself and i’ve gotten x = pi/2, 3.4 and 6.619

but when i asked chat gpt it says the answer is 4.71, 2.8 and 0.34

[simple widget]

Trigonometry

[narrow bone]

$2sin\theta + 2 = 3cos^2\theta$

[cerulean tulip]

banzai

[narrow bone]

@dry oyster

can u help

[dry oyster]

You can substitute cos²θ = 1 - sin²θ

[narrow bone]

that’s what i did

here’s what i did

[dry oyster]

And then substitute u = sinθ

[dry oyster]

and then it's as usual quadratic

[narrow bone]

i did that but when i find the x values

do i find it where sin is negative and then where sin is positive?

[stable mica]

+2sinx not -2sinx

[narrow bone]

yeah

[dry oyster]

am i tripping

[narrow bone]

i’m just tryna see how chat gpt got that answer

[stable mica]

Highlighted step is wrong

[dry oyster]

bro dont use chatgpt

[narrow bone]

ik but i’m tryna teach myself this

i have a luh quiz thing tmrw on a question similar to this

[dry oyster]

well there aint nothing much to it other than algebruh

[narrow bone]

yeah

but is what i did correct?

[stable mica]

This is correct

[dry oyster]

3 - 3sin²θ - 2sinθ - 2 = 0

[narrow bone]

yeah

[dry oyster]

-3sin²θ - 2sinθ + 1= 0

[narrow bone]

that’s what i got now

[dry oyster]

ok

[narrow bone]

yup

[stable mica]

Should be +2sinx

[narrow bone]

but don’t u multiply out the negative

[stable mica]

Both sin^2(x) and sinx should be positive or negative depending on how you solve it

[dry oyster]

x = sinθ

-3x² - 2x + 1 = 0

i am going to sleep bye

[narrow bone]

ok

well

is the rest good

[stable mica]

Since you got the quadratic wrong you need to fix everything else up

[narrow bone]

how did i get the quadratic wrong

i ended up with the same answer that he got

[stable mica]

I'm saying earlier. You had to fix this part therefore you need to fix everything after that