Question

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

Answer 1

• θ = 15/4π ≈ 11.78rad

`sec(\theta)=√(2)`

Step-by-step 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:

`(2\pi rad)/(180\degree)`

Then, we multiply this conversion times the degrees given:

`\theta=675\degree\cdot(\pi rad)/(180\degree)=(15)/(4)\pi\text{ rad}\approx11.78\text{ rad}`

Finally, finding the secant of θ:

`\text{ sec\lparen}\theta)=\text{ sec\lparen}11.78)=√(2)`