θ is an acute angle. Find the value of θ in degrees.sec(θ)=2θ=
Question
θ is an acute angle. Find the value of θ in degrees.sec(θ)=2θ=
Solution
The secant of an angle in a right triangle is defined as the hypotenuse divided by the adjacent side. In other words, sec(θ) = 1/cos(θ).
Given that sec(θ) = 2, we can write this as 1/cos(θ) = 2.
Solving for cos(θ), we get cos(θ) = 1/2.
The angle whose cosine is 1/2 is 60 degrees.
Therefore, θ = 60 degrees.
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