Exam 6: Analytic Trigonometry

Solve the problem using Snell's Law: $\frac { \sin \theta _ { 1 } } { \sin \theta _ { 2 } } = \frac { v _ { 1 } } { v _ { 2 } }$ -A light beam in air travels at 2 $2.99 \times 10 ^ { 8 }$ meters per second. If its angle of incidence to a second medium is 42° and its angle of refraction in the second medium is 32°, what is its speed in the second medium (to two decimal Places)? A) $1.58 \times 10 ^ { 8 } \mathrm { mps }$ В) $3.78 \times 10 ^ { 8 } \mathrm { mps }$ C) $2.37 \times 10 ^ { 8 } \mathrm { mps }$ D) $2.00 \times 10 ^ { 8 } \mathrm { mps }$

Solve the equation on the interval $0 \leq \theta < 2 \pi$ - $\cos \theta - 1 = 0$