According to SOH-CAH-TOA, we have sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse and tan θ = opposite/adjacent. Suppose we know the value of θ and the hypotenuse of a right triangle. Which trigonometric function(s) of θ could we use to find the lengths of the two missing sides (or legs)? Briefly explain and justify your reasoning.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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According to SOH-CAH-TOA, we have sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse and tan θ = opposite/adjacent. Suppose we know the value of θ and the hypotenuse of a right triangle. Which trigonometric function(s) of θ could we use to find the lengths of the two missing sides (or legs)? Briefly explain and justify your reasoning.

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