If sec(theta) + tan(theta) = 3, what is the value of sec(theta) – tan(theta)?

Topic: Trigonometry
Subtopic: Trigonometric Identities

A1/3

B1/2

C2/3

Explanation

Since sec^2(theta) – tan^2(theta) = 1 => (sec(theta) + tan(theta))(sec(theta) – tan(theta)) = 1. So sec(theta) – tan(theta) = 1 / 3.

Exam Relevance

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