Chapter 4, Problem 9CT

To determine

To calculate:Approximate two values of θ in radians.

Answer to Problem 9CT

Approximate two values of θ as mentioned in the problem in radians are $1.34$ and $1.80$ .

Explanation of Solution

Given information:

  $\theta$ liesbetween $0$ to $2\pi$ and $cosec\theta$ is $1.030$ .

Calculation:

Consider the statement “approximate two values of θ . ”

Recall that $\theta$ lies between $0to2\pi$ .

Therefore the value of θ in radians which satisfy $\cos ec\theta =1.030$ .

Therefore by the use of calculator, the value obtained on the screen of the calculator are $1.342$ and $1.8041$ .

Therefore on round off up to two decimal places the value of θ is $1.34$ and $1.80$ .