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smc

algebra senior

Problem

Let

x

be a real number such that

sec x - tan x = 2

. Then

sec x + tan x =

(A)

0.1

(B)

0.2

(C)

0.3

(D)

0.4

(E)

0.5

Solution

(sec x - tan x) (sec x + tan x) = sec^{2} x - tan^{2} x = 1

, so

sec x + tan x = 0.5

.

Final answer

E