Question

Use a calculator to determine the measure of θ, in degrees, given that csc(θ)=1.7894

Option a: 1.0244
Option b: 34
Option c: 0.5930
Option d: 66

Answer 1

Answer: Option b: 34

Explanation: The cosecant of an angle θ is defined as the reciprocal of the sine of that angle. Therefore, csc(θ)=1/sin(θ). Using a calculator, you can solve for sin(θ) by entering csc(θ) = 1.7894 and pressing the sin-1 button. This will give you the result of sin(θ) = 0.5930. You can then use a calculator to find the measure of θ in degrees by entering sin-1(0.5930) and pressing the Degrees button. This will give you the result of θ = 34°.