Exploring Sine and Cosine Functions in Trigonometry

Jan 01, 2026

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This lesson focuses on solving trigonometric functions, particularly the sine and cosine functions. Students will learn how to find missing sides of triangles using SOHCAHTOA, explore examples involving specific coordinates, and determine the sine and cosine values in different quadrants. Additionally, the lesson covers identifying when trigonometric values are positive or negative and how to find these values on the unit circle. Class exercises and homework assignments will reinforce the concepts taught.

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Exploring Sine and Cosine Functions in Trigonometry

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Bell Work 1. Find the missing side of each triangle
7.3 Sine & Cosine Functions Solving trig. functions of Sin and Cos
Sine and Cosine • Sin θ= Cos θ = • From: SOHCAHTOA
Example • If the terminal ray passes through (-3, -4) find sin and cos.
Example • If Sin θ =-5/13 and θ is in the IV Quadrant, find Cos θ . • Try: Given Cosθ=-24/25 in QIII find Sinθ.
Where are the trig values Positive?
Example • State whether positive or negative • Cos 60 • Sin 210 • Cos • Sin
Finding Trig Values Find the following values on the unit circle.
Example • Solve for θ • cos θ= -1 • Sin θ = 0
Groups: • Class Exercises: P. 271: 1-6all, 8, 9
Homework • P. 272 • 1-5all, 8-16even, 17-28all