Question

Given theta equals 675° convert the value of data to radians and find Secant of theta

Answer 1

Answer

• θ = 15/4π ≈ 11.78rad

$sec(\theta)=\sqrt{2}$

Explanation

Given:

• θ = 675°

,

• Convert to radians

,

• Find secant (θ)

Procedure

To convert θ to radians we have to remember how many radians is xº:

$\frac{2\pi rad}{180\degree}$

Then, we multiply this conversion times the degrees given:

$\theta=675\degree\cdot\frac{\pi rad}{180\degree}=\frac{15}{4}\pi\text{ rad}\approx11.78\text{ rad}$

Finally, finding the secant of θ:

$\text{ sec\lparen}\theta)=\text{ sec\lparen}11.78)=\sqrt{2}$