Question 472338
{{{-sec(t) - 1 = (sqrt(2) - 1)*tan(t)}}}
Multiply by cos(t)
{{{-1 - cos(t) = (sqrt(2) - 1)*sin(t)}}}
{{{cos(t) + 1 = (1 - sqrt(2))*sin(t)}}}
{{{sqrt(1 - sin^2(t)) + 1 = (1 - sqrt(2))*sin(t)}}}
Sub x for sin(t)
{{{sqrt(1 - x^2) + 1 = (1 - sqrt(2))*x}}}
{{{sqrt(1 - x^2) = -1 + (1 - sqrt(2))*x}}}
{{{sqrt(1 - x^2) = -1 + x - sqrt(2)*x}}}
Square both sides
{{{1 - x^2 = 1 + x^2 + 2x^2 + 2sqrt(2)*x - 2sqrt(2)*x^2}}}
{{{0 = x^2*(4 - sqrt(8)) + 2sqrt(2)*x}}}
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x = 0, not allowed since sec(0) is undefined
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{{{0 = x*(4 - sqrt(8)) + 2sqrt(2)}}}
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x = 0 again --> no solution
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Many chances for errors, I'll check it again later.