Find the exact value of tan(–𝜋/2)

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More Examples:

Find the exact value of: sin(17𝜋/3)

Find the exact value of: tan(9𝜋)

Find the exact value of: tan(21𝜋/4)

Find the exact value of sin(10𝜋/3)

Find the exact value of: cos(16𝜋/3)

Find the exact value of: tan(–𝜋/2)

Exact vs Approximate

sin cos tan csc sec cot

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Ahem...."undefined" is referred to as an "exact value"? I think it would help kids understand the inherent flaw in the tangent function to show that, in the neighborhood of -π/2, the tangent goes crazy, producing an infinite discontinuity. Also at π/2. By comparison, the sine and cosine fns are everywhere well-behaved. This could be an object lesson in well-behaved functions, leading to an appreciation for avoiding the destruction of information when dividing by 0. Using the direction vector [ cos, sin ] preserves directional info in all cases, whereas collapsing the 2 numbers into one number by dividing sin/cos overcompresses the info.

In other words, kids could be learning that the tangent function tries to squeeze down into one number spatial information which is better kept as 2 separate numbers! That would be a valuable insight to take away.

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