What is the general solution for tan^2(x)+sec^2(x)=1 ?

The general solution for tan^2(x)+sec^2(x)=1 is x=pin

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tan^2(x)+sec^2(x)=1

tan^{2} (x) + sec^{2} (x) = 1

x = πn

Solution steps

tan^{2} (x) + sec^{2} (x) = 1

Subtract

1

from both sides

tan^{2} (x) + sec^{2} (x) - 1 = 0

Rewrite using trig identities

2 tan^{2} (x) = 0

Divide both sides by

2

tan (x) = 0

General solutions for

tan (x) = 0

x = 0 + πn

Solve

x = 0 + πn : x = πn

x = πn

1 + cos (x) = 1 - cos (x)

csc (x) = 1 - cot (x)

sin (x) = 0.7547

cos (2 x - \frac{π}{6}) = \frac{( 3 )}{2}, 0 < x < 2 π

- 1 = tan (x)

What is the general solution for tan^2(x)+sec^2(x)=1 ?
The general solution for tan^2(x)+sec^2(x)=1 is x=pin