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

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

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

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

x = 2 πn

Solution steps

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

Rewrite using trig identities

1 = cos (x)

Switch sides

cos (x) = 1

General solutions for

cos (x) = 1

x = 0 + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn

x, cos^{2} (x) - sin^{2} (x) = 0

cos (x) = \frac{60}{61}, cos (2 x)

x, tan (3 x) = - \frac{1}{3}

arcsin (\frac{x}{3 ^{2} + x ^{2}}) = 0.01117

cot (x) - 3 = csc (x)

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