find the following in degrees without using a calculator. \n\\( \\sin ^ { - 1 } ( \\sin 17 ^ { \\circ } ) =…
find the following in degrees without using a calculator. \n\\( \\sin ^ { - 1 } ( \\sin 17 ^ { \\circ } ) = ? ^ { \\circ } \\)
Answer
Explanation:
Step1: Recall the property of inverse sine function
The property of the inverse sine function (y = \sin^{-1}(x)) is that (\sin^{-1}(\sin\theta)=\theta) when (- 90^{\circ}\leq\theta\leq90^{\circ}).
Step2: Check the value of (\theta)
Here (\theta = 17^{\circ}), and (-90^{\circ}<17^{\circ}<90^{\circ}).
Answer:
(17)