# Convert (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2)

• November 30th 2011, 11:04 AM
TLH
Convert (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2)
I need to transform the equation (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2). This was written as though it were through a TI83 calculator.
• November 30th 2011, 11:14 AM
Quacky
Re: Convert (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2)
Divide both sides by $cos^2(x)$
• November 30th 2011, 12:21 PM
TLH
Re: Convert (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2)
1/(cos(x)^2) would equal (sec(x)^2), correct? Or would the numerator have to be a 2?
• November 30th 2011, 12:43 PM
Quacky
Re: Convert (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2)
$\frac{1}{cos^2{x}}=sec^2{x}$