Math, asked by tctechnical01, 8 months ago

if sec A = 2 then tan^2 A = ?​

Answers

Answered by gudlasaipriya2000
0

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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