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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. $$\arcsin\left(\dfrac{1}{3}\right)+\arccos\left(\dfrac{1}{3}\right)$$

Angle Measurement

Right triangle

Unit circle

Trigonometric identities