Unisciti a migliaia di studenti che si affidano a noi per superare al meglio i loro esami!
Scelta multipla
Evaluate the expression. cos−1(−1)
A
0
B
π
C
2π
D
23π
0 Commenti
Guida verificata passo dopo passo
1
Understand that \( \cos^{-1}(x) \) represents the inverse cosine function, which gives the angle whose cosine is \( x \).
Recall that the range of the inverse cosine function \( \cos^{-1}(x) \) is \([0, \pi] \). This means the output will be an angle in radians between 0 and \( \pi \).
Identify that the expression \( \cos^{-1}(-1) \) asks for the angle whose cosine is \(-1\).
Recall that the cosine of \( \pi \) is \(-1\). Therefore, \( \cos^{-1}(-1) = \pi \).
Conclude that the angle corresponding to \( \cos^{-1}(-1) \) is \( \pi \), which is within the range of the inverse cosine function.