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Suppose that cos(θ)=2/3​. Find the exact value of sec(θ)

User Debopam
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To find the exact value of sec(θ), we can use the reciprocal relationship between cosine and secant:

sec(θ) = 1/cos(θ)

Given that cos(θ) = 2/3, we substitute this value into the expression:

sec(θ) = 1/(2/3)

To divide by a fraction, we can multiply by its reciprocal:

sec(θ) = 1 * (3/2)

Simplifying the expression:

sec(θ) = 3/2

Therefore, the exact value of sec(θ) is 3/2.
User Simon Hellinger
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