Question 756962
tan a + sec a = 2, then find the values of sin a and cos a.
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tan a + sec a = 2
sin/cos + 1/cos = 2
sin + 1 = 2cos
{{{s + 1 = 2sqrt(1 - s^2)}}}
{{{s^2 + 2s + 1 = 4(1 - s^2) = 4 - 4s^2}}}
{{{5s^2 + 2s - 3 = 0}}}
Solve the quadratic for s ( = sin(a))
{{{cos(a) = sqrt(1 - sin^2(a))}}}