Stitz-Zeager_College_Algebra_e-book

# For t 1 4 3 2 we choose cost 16x2 1 4x

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Unformatted text preview: ) (c) = tan(α − β ) sin(α) cos(α) − sin(β ) cos(β ) 10. Show that cos2 (θ) − sin2 (θ) = 2 cos2 (θ) − 1 = 1 − 2 sin2 (θ) for all θ. 11. If sin(θ) = x π π for − &lt; θ &lt; , ﬁnd an expression for cos(2θ) in terms of x. 2 2 2 10.4 Trigonometric Identities 669 π π x for − &lt; θ &lt; , ﬁnd an expression for sin(2θ) in terms of x. 7 2 2 x π 13. If sec(θ) = for 0 &lt; θ &lt; , ﬁnd an expression for ln | sec(θ) + tan(θ)| in terms of x. 4 2 12. If tan(θ) = 14. Use the Half Angle Formulas to ﬁnd the exact values of the following. You may have need of the Quotient, Reciprocal or Even / Odd Identities as well. (a) cos π 8 (b) sin 5π 8 (c) tan 7π 8 15. In each exercise below, use the given information about θ to ﬁnd the exact values of • sin(2θ) θ • sin 2 • cos(2θ) θ • cos 2 3π 7 where &lt; θ &lt; 2π 25 2 28 π (b) cos(θ) = where 0 &lt; θ &lt; 53 2 (a) sin(θ) = − • tan(2θ) θ • tan 2 12 3π where π &lt; θ &lt; 5 2 π (d) csc(θ) = 4 wher...
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## This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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