How do you find the values of all six trigonometric functions of an angle given one trigonometric function's value?
Answer 1
Sara Martin
To find all six trigonometric functions given one value, use the Pythagorean identity and reciprocal, quotient identities. First, determine the quadrant to establish sign conventions. For example, if sin(θ) = 1/2, then cos(θ) = √(1 – sin²(θ)). Use reciprocal identities for sec(θ) and csc(θ), and quotient identities for tan(θ) and cot(θ).
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