Prove the trigonometric identity tan^2(x)+1=sec^2(x)
We can start with the identity sin2(x)+cos2(x)=1 If we divide through the equation by cos2(x), we get: sin2(x)/cos2(x) + cos2(x)/cos2(x) = 1/cos2(x) If we look at the left hand side of the equation: sin2(x)/cos2(x) is equal to tan2(x), and cos2(x)/cos2(x) is equal to 1 (as it is divided through by itself), the left hand side becomes tan2(x) +1 Now if we look at the right hand side of the equation: 1/cos2(x) is equal to sec2(x) Putting both sides of the equation together, we get tan2(x) +1=sec2(x)
CW
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