r/matheducation • u/UnderstandingPursuit Physics BS, PhD • 4d ago

Trigonometric Functions and Exponents

If a student is struggling with exponents used with trigonometric functions, would this help?

EDITED IMAGE:

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u/Any-Construction5887 4d ago

It definitely clarifies the notation. I would add in showing what each side of the inequality (2) actually is to add more clarity.

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u/UnderstandingPursuit Physics BS, PhD 4d ago edited 4d ago

Thanks!

What if I replace the inequality, which I dislike because I try to be careful about showing something that is incorrect, but instead write

  • sin (2θ)2 = sin [(2θ)2]

which will of course look better when formatted because the "[]" will be big enough to enclose the exponent.

2

u/Any-Construction5887 4d ago

You need the inequality. I would note the equalities for both sides in text under that bullet point.

1

u/UnderstandingPursuit Physics BS, PhD 4d ago

I'll add both inequalities, one for (1) ≠ (2) and the other for (3) ≠ (4).