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• Trigonometry
• Graphing Trig Functions
• Inverse trigonometric functions

# Inverse trigonometric functions

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•  Question 1: 1 pts Which graph is sketched in the given image.
•  Question 2: 1 pts Determine the domain and range of the function $y=\arctan 2x.$
 Domain: $-1 Domain: All reals; Range:$-1 Domain:$-\dfrac{\pi}{2} Domain: All reals; Range:$-\dfrac{\pi}{2}
•  Question 3: 1 pts Which graph is sketched in the given image.
 $\sin^{-1}(x+1)$ $\cos^{-1}(x+1)$ $\tan^{-1}(x+1)$ $\cot^{-1}(x+1)$
•  Question 4: 1 pts $\sin\left(\arcsin\left(\dfrac{8}{9}\right)\right)=\dfrac{8}{9}$
•  Question 5: 2 pts Find the value of $\arcsin\left(\dfrac{1}{2}\right).$
 $x=\dfrac{\pi}{6}$ $x=\dfrac{\pi}{3}$ $x=\dfrac{\pi}{2}$. $x=\dfrac{\pi}{4}$
•  Question 6: 2 pts Find the value of $\arcsin \left(\cos \dfrac{\pi}{3}\right).$
 $\dfrac{\pi}{2}$ $\dfrac{\pi}{3}$ $\dfrac{\pi}{6}$ $\dfrac{\pi}{4}$
•  Question 7: 2 pts Find the value of $\arctan (\sqrt{3}).$
 $\dfrac{\pi}{2}$ $\dfrac{\pi}{3}$ $\dfrac{\pi}{6}$ $\dfrac{\pi}{4}$
•  Question 8: 3 pts Evaluate. $$\arcsin\left(\dfrac{\pi}{3}\right)$$
 $\dfrac{\pi}{2}$ $\dfrac{\pi}{3}$ $\dfrac{\pi}{4}$ none of these
•  Question 9: 3 pts Evaluate. $$\cos\left(\arcsin \left(-\dfrac{1}{2}\right)\right)$$
•  Question 10: 3 pts Find the value of $\cos(\arccos \pi).$
 $\dfrac{\pi}{2}$ $\dfrac{\pi}{3}$ $\dfrac{\pi}{4}$ not defined
•  Question 11: 3 pts Evaluate. $$\arcsin\left(\dfrac{1}{3}\right)+\arccos\left(\dfrac{1}{3}\right)$$