Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Answer:
-π/4
Step-by-step explanation:
You want the angle in radians whose sine is -(√2)/2.
Sine
You recall from memory that sin(45°) = (√2)/2, and you know the sine is negative for negative angles in the range -180° to 0°. The inverse sine function has a range of -90° to +90°, so ...
[tex]\sin^{-1}\left(-\dfrac{\sqrt{2}}{2}\right)=-45^\circ=\boxed{-\dfrac{\pi}{4}\text{ radians}}[/tex]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.