Question

If tan a + sec a = 2, then find the values of sin a and cos a.

Answer 1

check this answer & comment pls

Answer 2

tan a + sec a = 2
So, sin a / cos a + 1/ cos a = 2
sin a + 1/ cos a = 2
sin a + 1 = 2cos a
sin a = 1 - 2cos a
And sin a + 1/2 = cos a
hence sin a = 1 - 2cos a
and cos a = sin a + 1/2

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