Trig identities

[gilded fog]

how do people even start to solve questions like these. I’m on 5 right now and I have no clue on what to do. I understand you just need to expand and replace everything with other things that equal the same thing but how the freak do you make 1/cos equal to cos/sin😭😭😭

[gilded fog]

Here’s what I have for 5 so far, idk where to go from here or if it’s even the right way to go

[dense grove]

@gilded fog your teacher is wrong

5 is false

its not an identity

[candid quail]

I would say it is easier to manipulate the RHS into the LHS instead

But to answer your question…

[dense grove]

i ran this through mathematica

it returned false

[candid quail]

[ \frac 1\cos \cdot \frac{\cos^2}{\sin} = \frac \cos\sin ]

[copper ore]

shsgd

[candid quail]

What returned false

[dense grove]

nvm i made a typo

if its sin/cot it works

[candid quail]

Op, you should consider this though

[dense grove]

yeah rhs is easier

[heavy meadow]

LHS

@gilded fog

You turn the LHS into 1 fraction to get (coscot - sinsec) / (sec * cot)

From there it turns into :
(Cos*cot - tan) / csc