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Can someone help me solve these two trig identities?


Darros

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Holy crap. I've been working on these for a while, and I do NOT get them. Also, I can only prove using one side of the equation, not alter both.

These are the problems.

work1.png

and

work2.png

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The second one you can rearrange the last term to (1/cos^2)/(1/sin^2), which is just tan^2. on the LHS you simplify sin^2 + cos^2 to make 1

so you end up with 1 sec^2 =2+tan^2 or sec^2=1+tan^2 which is what you get if you divide the sin^2 + cos^2=1 by cos^2.

ANd I'm about to start the other one so I'll get back to you on it

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Okay for the first one I noticed you said to only focus on one side so for the LHS:

you can factor out cos^2 for the num. and denom

Cos^2(1-tan^2)/cos^2(1+tan) which leaves you with 1-tan^2/1+tan

By completing the square you can show that 1-tan^2=(1+tan)(1-tan) which leaves you with 1-tan on the LHS

Multiply by tan and you get tan*(cot-1) as cot=1/tan multiplying by tan is the same as dividing by cot so you get:

cot-1)/cot

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No, it's fine to ask for help.

How often are you right about anything little boy? I had to unignore your post because I knew it would be hilariously off.

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How often are you right about anything little boy? I had to unignore your post because I knew it would be hilariously off.

I'm not sure what gives you the right to be suck a fucking prick, especially since asking for help is better than not doing so and leaving yourself hanging out to dry.

Also, the most useful trig identities in general are:

(sinx)^2 + (cosx)^2 = 1

(secx)^2 - 1 = (tanx)^2

(cscx)^2 - 1 = (cotx)^2

You can form all the other identities from those. Once you get the hang of those, trig identities with single angles aren't too bad.

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You say that like I was talking to you. I wasn't. Learn to infer.

Actually though he never asked to be told "what gives [me] the right to be suck a fucking prick", so I guess any query was implied if present at all.

Still, typically people want to know the answer to something when they complain about not knowing it, so I pre-empted him.

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You say that like I was talking to you. I wasn't. Learn to infer.

No, you learn to use the quote button.

Still, typically people want to know the answer to something when they complain about not knowing it, so I pre-empted him.

That's fair.

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I think fucking run to me. I'm not even about to give a fuck. Query someone who cars.

I tried but Michael Schumacher's fully booked.

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Thank you so so so much Mike and Mercenary Raven, I got it done!! If it's not a hassle, I'd like this thread locked now please. ._.

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