Which of these expressions is the simplified form of the expression (StartFraction sine (x) Over 1 minus cosine squared (x) EndFraction) tangent (StartFraction x Over 2 EndFraction) ?

The simplified form of the expression :

We have some trigonometric formula as:

We have the expression

Therefore, the simplified form of the expression is:

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Step-by-step explanation:

Given

Required

Simplify

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Considering the denominator of the first bracket

This can be rewritten using different of two squares as follows:

So, can be replaced with in the given expression.

Also, from trigonometry identity

So, can be replaced with in the given expression

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becomes

Cancel out similar expressions

The expression cannot be further simplified.

Hence:

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: