High School

Use a calculator to determine the measure of [tex]\theta[/tex], in degrees, given that [tex]\csc(\theta) = 1.7894[/tex].

A. 1.0244
B. 34
C. 0.5930
D. 66

Answer :

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°.