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Mathematics 15 Online
OpenStudy (abbles):

Sec2x = what?

OpenStudy (abbles):

Really having trouble with this one.. :/

OpenStudy (abbles):

Trig identities aren't my thing.

jhonyy9 (jhonyy9):

hope you know sec x = 1/cos x so sec2x = 1/cos2x = 1/cos(x+x) cos(x+x) = ? use formula cos(a+b) = ---- ? hope you know it

OpenStudy (abbles):

Yes! Thank you. cosacosb + sinasinb Which would be: 2cosa + 2sina right?

OpenStudy (abbles):

2cosx + 2sinx I mean.

jhonyy9 (jhonyy9):

so there are in place of a and b just x and cosx *cosx = cos^2 x not 2cosx ok. ?

OpenStudy (abbles):

Oh, right!

jhonyy9 (jhonyy9):

so in this case cos(x3x) = cosx*cosx +sinx*sinx = cos^2 x +sin^2 x but you know this formula that this is equal how many from trigonometry formulas ?

jhonyy9 (jhonyy9):

sorry there wan being cos(x+x) = ---

OpenStudy (abbles):

Wait... there should be a minus sign, shouldn't there? cos^2x - sin^2x

jhonyy9 (jhonyy9):

but than you check you wrote above plus not minus - yes ?

OpenStudy (abbles):

I know, but I looked up the formula and it says something different..

jhonyy9 (jhonyy9):

ok so than how is correct ? with minus ? so than you get cos(x+x) = cos^2 x - sin^2 x = using formula cos^2 x +sin^2 x = 1 => cos^2 x = 1 -sin^2 x so this substituted inside your equation in place of cos^2 x what will get ?

OpenStudy (abbles):

I think I got it... I was confused because I was thinking cos(a+b) = cosacosb + sinasinb, when it should have been cosacosb - sinasinb I think I have it from here! Thank you for your help.

jhonyy9 (jhonyy9):

np was my pleasure good luck

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