Considering only the values of α for which tanαcos(2α) is defined, which of the following expressions is equivalent to tanαcos(2α)?
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abidemiokin 6 months ago
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The equivalent expression at the point where it is undefined is ∞

Undefined expression

Given the trigonometry expression

tanαcos(2α)

From trigonometry identity;

tanα = sinα/cosα

The expression above will become:

tanαcos(2α) = sinαcos(2α)/cosα

The function is undefined at the point where cosα = 0

cosα = 0

α = arccos(0)

α = 90degrees

Substitute α = 90degrees into the expression;

tanαcos(2α) =  tan 90 cos(180)
tanαcos(2α) = ∞

Hence the equivalent expression at the point where it is undefined is ∞

Learn more on trigonometry identity here: https://brainacademy.pro/question/24496175

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