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Can These Angles Exist?

ID: hszgn8mzin

Problem: Can a direction have \(\theta_x = \theta_y = \theta_z = 45^\circ\)? Compute \(\cos^2\theta_x + \cos^2\theta_y + \cos^2\theta_z\) to decide. Then find the two possible values of \(\theta_z\) when \(\theta_x = \theta_y = 60^\circ\), the smaller one first.

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3 Answer Field(s)
3/3 Attempts
#1
\sum\cos^2
#2
\theta_{z1}
^{\circ}
#3
\theta_{z2}
^{\circ}
Scientific notation supported (e.g. 2e4, 2e-4)

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