Answered

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which of the following would be an acceptable first step in simplifying the expression tanx/1+ secx

Which Of The Following Would Be An Acceptable First Step In Simplifying The Expression Tanx1 Secx class=

Sagot :

MrRoyal

The acceptable first step in simplifying the expression [tex]\mathbf{\frac{tan\ x}{1 + sec\ x}}[/tex] is (a) [tex]\mathbf{\frac{tan\ x(1 - sec\ x)}{(1 + sec\ x)(1 - sec\ x)}}[/tex]

The expression is given as:

[tex]\mathbf{\frac{tan\ x}{1 + sec\ x}}[/tex]

To change the form of the expression, we simply perform several arithmetic operations on it.

Start by multiplying the expression by 1/1

[tex]\mathbf{\frac{tan\ x}{1 + sec\ x} = \frac{tan\ x}{1 + sec\ x} \times \frac 11}[/tex]

Express 1 /1 as (1 - sec x)/(1 - sec x)

[tex]\mathbf{\frac{tan\ x}{1 + sec\ x} = \frac{tan\ x}{1 + sec\ x} \times \frac{1 - sec\ x}{1 - sec\ x}}[/tex]

Rewrite the above expression as follows:

[tex]\mathbf{\frac{tan\ x}{1 + sec\ x} = \frac{tan\ x(1 - sec\ x)}{(1 + sec\ x)(1 - sec\ x)}}[/tex]

Hence, the acceptable first step is (a)

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Answer:

A

Step-by-step explanation:

The possible first step is A

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