How do i solve this.. 💔

[steel pumice]

So technically, we can't use the chain rule yet here if ever cuz our teacher haven't taught that yet. All we can use is the Reciprocal identity, Quotient identity, Pythagorean identity and all those trigonometric identity. We can't even use the product rule like g(x)= sec³x and we get 3sec³xtanx or whatever there is related. I can't even find anything online that's exactly like the activity she gives. So yeah, we just use the identities and hope for the best that our answers are right. The three other pics are like the samples from her previous activity. If anyone knows how to do it I'll be greatful if someone can help me with this..

[sterile rock]

what are you tryna do though?

[sterile rock]

also, how is sin(x) - 1 = -cos(x)?
You might be confusing pythagorean identity
Its for squares of functions, not plain functions

[humble idol]

Start by simplification of terms

Then apply differentiation

Also the solutions in 3rd and 4th r incorrect ig

[steel pumice]

ig i am, I'm kind off going back into that part of the lessons again and it's what in my previous lectures

[steel pumice]

we started the lesson's in her own kind of way, so idk how things would even go if it's actually right or wrong

but thank you for that comment

[humble idol]

U may want to check yt for chain rule

Js to know whether ur learning the right content

[steel pumice]

that's kind of the problem, regardless of whether i actually know how to do it, we still can't use it in this part of the lesson

so at some point the answer would surely be different

[humble idol]

U can look out for the videos showing how to use the inverse property

N try to simplify the trigonometric functions before taking derivative

The trick is to simplify them