Trigonometric Limits

[odd skiff]

Hii can anyone recommend me resources to study these types of exercises 😭 I've been
watching videos but they mostly solve really basic exercises and I dont feel capable of
solving these ones 😭 i have to learn by tomorrow how to solve them, any help will be greatly appreciated

[drifting edge]

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[odd skiff]

I'm really cooked guys 😭

[inland ember]

yo

too ez

just ask chatgpt for help

[grand sage]

Sen? New trig fxn ?
We got a math update

[odd skiff]

nah, it's Sin in Spanish

[plush vine]

chatgpt is horrible when it comes to math

mit ocw must have some calculus 1 problem sets

[grand sage]

Let's start @odd skiff

For first let's factor out sin first

sin2x = sinxcosx

Factor out (sinx)²

What will you do now @odd skiff it became easy now

For 2nd

Again convert 2x to x

Factor out cos

[odd skiff]

Okay so numerator will become → 2sin²x(1-cosx)

[grand sage]

Yes and what's sinx/x as x tends to zero

[odd skiff]

It's 1

[grand sage]

So sin²x / x² will become 1

What's (1 - cosx)/x as x tends to zero

[odd skiff]

That's 0

Aaah so separating terms

[odd skiff]

Making it cos²x-sin²x?

[livid ledge]

@odd skiff

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