Question

standard 18 homework
score: 5/22 answered: 5/17
question 6
evaluate the following expression. enter dne if the expression is undefined.
$sinleft(sin^{-1}(1.8)
ight) = square$
question help: video message instructor post to forum

Explanation:

Step1: Recall domain of arcsin

The domain of \( \sin^{-1}(x) \) is \( [-1, 1] \).

Step2: Check input to arcsin

Here, the input to \( \sin^{-1} \) is \( 1.8 \), which is outside \( [-1, 1] \). So \( \sin^{-1}(1.8) \) is undefined.

Step3: Determine overall expression

Since \( \sin^{-1}(1.8) \) is undefined, the entire expression \( \sin(\sin^{-1}(1.8)) \) is also undefined.

Answer:

DNE