Exponents in relation to trig functions?

Question

okay so:

sin^2(x)=(sin(x))^2

this I understand.

but when a function is written as:

sin(u)^(-4)

does it equal sin(u^(-4)) or (sin(u))^(-4)?

Mark · Accepted Answer

sin⁻ᶣ x = 1/sinᶣ x

Exactly the same as x⁻ᶣ = 1 / xᶣ

But sin u⁻ᶣ = sin (1/uᶣ)

Compare with (sin u)⁻ᶣ = 1 / sinᶣ u

Parentheses make all of the difference.

Anonymous · Answer

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Exponents in relation to trig functions?

2 Answers