1. Find the exact value of the expression using the provided information. Find c
ID: 2905067 • Letter: 1
Question
1. Find the exact value of the expression using the provided information.Find cos(s-t) given that s= -sqrt3/3, with s in quadrant IV, and sint= -sqrt5/6, with t in quadrant IV ---------- 2. An airplane flying faster than the speed of sound creates sound waves that form a cone. If theta is the vertex angle of the cone and m is the Mach number for the speed of the plans, then sin(theta/2)=1/m (m>1). Find theta to the nearest degree of m=1.5
1. Find the exact value of the expression using the provided information.
Find cos(s-t) given that s= -sqrt3/3, with s in quadrant IV, and sint= -sqrt5/6, with t in quadrant IV ---------- 2. An airplane flying faster than the speed of sound creates sound waves that form a cone. If theta is the vertex angle of the cone and m is the Mach number for the speed of the plans, then sin(theta/2)=1/m (m>1). Find theta to the nearest degree of m=1.5
Find cos(s-t) given that s= -sqrt3/3, with s in quadrant IV, and sint= -sqrt5/6, with t in quadrant IV ---------- 2. An airplane flying faster than the speed of sound creates sound waves that form a cone. If theta is the vertex angle of the cone and m is the Mach number for the speed of the plans, then sin(theta/2)=1/m (m>1). Find theta to the nearest degree of m=1.5
Explanation / Answer
2. An airplane flying faster than the speed of sound creates sound waves that form a cone. If theta is the vertex angle of the cone and m is the Mach number for the speed of the plans, then sin(theta/2)=1/m (m>1). Find theta to the nearest degree of m=1.5
Given, Theta is the angle formed at the vertex of the cone
m is the mach number = 1.5
Sin(theta/2) = 1/m
Therefore,
Sin(theta/2) = 1/1.5
Sin(theta/2) = 10/15 = 2/3
taking arc sine both the sides
Theta/2 = arcsin 2/3
Theta/2 = 41.81031
Theta = 41.81031 X 2
Theta = 83.62062 Degrees
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