6 Questions
What is the value of $\arccos(0)$?
$\frac{\pi}{2}$
If $\tan(x) = \sqrt{3}$, what is the value of $x$ in the interval $[0, 2\pi]$?
$\frac{5\pi}{6}$
What is the value of $\sin(\arccos(-\frac{1}{2}))$?
$\frac{1}{2}$
Which of the following is equivalent to $2 ext{arccot}(3)$?
$rac{ heta}{2} + rac{ heta}{3}$
If $ ext{arcsin}(x) = rac{ heta}{4}$, what is the value of $ an( heta)$?
$rac{x}{ heta}$
If $ an( ext{arccos}(x)) = 2$, what is the value of $x$?
$-rac{1}{2}$
Study Notes
Trigonometric Functions and Inverse Trigonometric Functions
- The value of arccos(0) is π/2.
- If tan(x) = √3, then x = π/3 in the interval [0, 2π].
- The value of sin(arccos(-1/2)) is 1/2.
- The equivalent of 2arccot(3) is 2π/3.
- If arcsin(x) = π/4, then tan(π/4) is 1.
- If tan(arccos(x)) = 2, then x = 1/√5.
Test your understanding of inverse trigonometric functions with these questions related to arccosine, tangent, and sine of arccosine.
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