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 2 years ago
1 + sec^2 x sin^2 x = sec^2 x
Verify this trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation.
 2 years ago
1 + sec^2 x sin^2 x = sec^2 x Verify this trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation.

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cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1LHS: use sec^2 x = 1 /cos^2 x

CKaterinaR
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks for answering but I still don't get it. What do you mean?

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1LHS = 1 + sin^2 x  cos^2 x

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1and sin^2 x  = tan^2 x cos^2 x

CKaterinaR
 2 years ago
Best ResponseYou've already chosen the best response.0ok... so let me see if this will help you help me understand this better. I know that I'm supposed to do something with the left side of the equation to make it sec^2x. correct?

CKaterinaR
 2 years ago
Best ResponseYou've already chosen the best response.0I just don't see how the cos^2x in the denomenator fits in. I'm sorry I truly suck at this :(

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1yes these can be tricky  you must have a good knowledge of the trig identities sometimes you just try different ones to see if there are any connections  i was aiming for 1 + tan^2 x because i knew that sec^2 x = 1 + tan^2 x

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1i introduced the cos^2x because sin^2 x/cos^2 x = tan^2 x and sec^2 x = 1/cos^2 x

CKaterinaR
 2 years ago
Best ResponseYou've already chosen the best response.0OK so how would I put that together to get the answer

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1if you google trigonometrical identities you'll a list of them

CKaterinaR
 2 years ago
Best ResponseYou've already chosen the best response.0starting from the original equation how do I use what you gave me.

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1well we got LHS = 1 + tan^2 x and this equals RHS sec^2 x

CKaterinaR
 2 years ago
Best ResponseYou've already chosen the best response.0yes but then again so does 1+ sec^2x sin^2x. I need to transform (1+sec^2xsin^2x) and make it read sec^2x

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1LHS = 1+sec^2xsin^2x) = 1 + sin^2 x  (because sec^2 x = 1 / cos^2 x) cos^2 x = 1 + tan^2x = sec^2 x ( because sec^2x = 1 + tan^2 x is a standard identity) = RHS

CKaterinaR
 2 years ago
Best ResponseYou've already chosen the best response.0Ohhhhh got it wow! OK. Thank you so much. You see I suck so bad that even when you are plainly explaining it to me I still dont get it. But now I do. Again thank you for helping me :)

CKaterinaR
 2 years ago
Best ResponseYou've already chosen the best response.0above the last equal sign.... what does it say? 1/??

CKaterinaR
 2 years ago
Best ResponseYou've already chosen the best response.0oh wait is it 1/cos^2x ?

CKaterinaR
 2 years ago
Best ResponseYou've already chosen the best response.0awesome.... ok thanks but why is yours different than the other one? is it wrong or is this just another way to do it

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1no  they are both acceptable  just another way to do it
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