In this lesson, we will learn how to use the fact that the quadrant where an angle lies determines the signs of its sine, cosine, and tangent and solve trigonometric equations.

Q1:

In the figure, points π ( π , π ) c o s s i n and π lie on the unit circle, and β π΄ π π = 2 π β π .

Express the values of sine, cosine, and tangent of 2 π β π in terms of their values for π . Check whether this is valid for all values of π .

Q2:

Find s e c π , given π is in standard position and its terminal side passes through the point οΌ 4 5 , 3 5 ο .

Q3:

Find s i n π , given π is in standard position and its terminal side passes through the point οΌ 3 5 , β 4 5 ο .

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