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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.
 one year ago
 one year 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.
 one year ago
 one year ago

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cwrw238Best ResponseYou've already chosen the best response.1
LHS: use sec^2 x = 1 /cos^2 x
 one year ago

CKaterinaRBest ResponseYou've already chosen the best response.0
Thanks for answering but I still don't get it. What do you mean?
 one year ago

cwrw238Best ResponseYou've already chosen the best response.1
LHS = 1 + sin^2 x  cos^2 x
 one year ago

cwrw238Best ResponseYou've already chosen the best response.1
and sin^2 x  = tan^2 x cos^2 x
 one year ago

CKaterinaRBest ResponseYou've already chosen the best response.0
ok... 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?
 one year ago

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

cwrw238Best ResponseYou've already chosen the best response.1
yes 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
 one year ago

cwrw238Best ResponseYou've already chosen the best response.1
i introduced the cos^2x because sin^2 x/cos^2 x = tan^2 x and sec^2 x = 1/cos^2 x
 one year ago

CKaterinaRBest ResponseYou've already chosen the best response.0
OK so how would I put that together to get the answer
 one year ago

cwrw238Best ResponseYou've already chosen the best response.1
if you google trigonometrical identities you'll a list of them
 one year ago

CKaterinaRBest ResponseYou've already chosen the best response.0
starting from the original equation how do I use what you gave me.
 one year ago

cwrw238Best ResponseYou've already chosen the best response.1
well we got LHS = 1 + tan^2 x and this equals RHS sec^2 x
 one year ago

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

cwrw238Best ResponseYou've already chosen the best response.1
LHS = 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
 one year ago

CKaterinaRBest ResponseYou've already chosen the best response.0
Ohhhhh 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 :)
 one year ago

CKaterinaRBest ResponseYou've already chosen the best response.0
above the last equal sign.... what does it say? 1/??
 one year ago

CKaterinaRBest ResponseYou've already chosen the best response.0
oh wait is it 1/cos^2x ?
 one year ago

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

cwrw238Best ResponseYou've already chosen the best response.1
no  they are both acceptable  just another way to do it
 one year ago
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