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

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

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

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

x = πn

Solution steps

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

Subtract

tan^{2} (x)

from both sides

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

csc^{2} (x) = (\frac{1}{cos ( x )})^{2}

- 2 cos^{2} (x) + 3 cos (x) = 1

2 - 10 sec (x) = 4 - 9 sec (x)

7 = e^{2 s i n (x)} + 3

sin (u) = - 0.9

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