Answer: Cosecant B = √2
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine Sin B, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin B = 3√2/6
Cosecant B = 1/SinB
Cosecant B = 6/3√2 = 2/√2
Rationalizing the denominator, it becomes
2/√2 × √2/√2
= 2√2/2
= √2
