if sec A = 2 then tan^2 A = ?
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Answer:
sec A = 2
tan^2A=?
Step-by-step explanation:
sec A= hypotenuse/base
so hypotenuse /base = 2/1
so,
let the hypotenuse be 2x
the base be X
(hypotenuse)^2 = (side)^2 + ( side)^2
2x^2 = (X)^2 + (s)^2
4x^2 = x^2 + s^2
4x^2 - x^2 = s^2
3x^2 = s^2
s = 3x
so perpendicular = 3x
tan a = perpendicular/base
= 3x/X
=3
tan 2a = 3*2 = 6
tan^2 2a = 6^2
36
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