Answer:
the answer is D) 1.369.
Explanation:
To solve the equation sec(θ) = 5, we first need to recall the definition of the secant function. The secant function is defined as the reciprocal of the cosine function:
sec(θ) = 1/cos(θ)
Therefore, our equation can be rewritten as:
1/cos(θ) = 5
To solve for θ, we need to isolate the cosine function. We can do this by multiplying both sides of the equation by cos(θ):
cos(θ) = 1/5
Now, we need to find the value of θ that satisfies this equation. To find this, we can take the inverse cosine (also known as the arccos or cos^(-1)) of both sides of the equation:
θ = cos^(-1)(1/5)
Using a calculator, we can find the value of θ to be approximately 1.369.
Therefore, the answer is D) 1.369.