What is the general solution for sec^2(x)+tan^2(x)-1=0 ?

The general solution for sec^2(x)+tan^2(x)-1=0 is x=pin

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

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

x = πn

Solution steps

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

tan^{2} (x) - 3 tan (x) = 0, 0 \leq x < 2 π

tan (θ) = 10

8 sin (θ) - 5 = 3 sin (θ)

2 cos (4 x) + 3 = 0

cos (θ) = 0.4

What is the general solution for sec^2(x)+tan^2(x)-1=0 ?
The general solution for sec^2(x)+tan^2(x)-1=0 is x=pin