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A = 9

B = 4 (If not included the minus)

Step-by-step explanation:

We are given the expression:

We are going to rewrite the expression as Asec(x)-Bcos(x).

Let's recall the Identity of Trigonometric Function:

We are going to use these identities to rewrite the expression. First, let's convert tan(x) to sin(x)/cos(x) and sec(x) to 1/cos(x).

Simplify the expression — multiply sin(x) to sin(x)/cos(x).

Rewrite sin^2 of x as 1-cos^2(x).

Separate the fraction:

Rewrite 1/cos(x) as sec(x) again as we need it for rewrite.

Simplify cos^2 of x and cos(x).

Expand 4 in sec(x)-cos(x).

Add 4sec(x) and 5sec(x).

Hence, rewritten in form of Asec(x)-Bcos(x)

The value of A is 9 and B is 4 (If not included the sign).

if x = 1, then the answer is 3.5

2/3

step-by-step explanation: