True or False? In Exercises 63–65, determine whether the statement is true or false. Justify your answer. 64. cos( 0 – - =) 63. tan x² = tan² x sin 0 65. The equation sin² 0 + cos² 0 = 1 + tan² 0 is an identity because sin (0) + cos²(0) = 1 and 1 + tan²(0) = 1.
True or False? In Exercises 63–65, determine whether the statement is true or false. Justify your answer. 64. cos( 0 – - =) 63. tan x² = tan² x sin 0 65. The equation sin² 0 + cos² 0 = 1 + tan² 0 is an identity because sin (0) + cos²(0) = 1 and 1 + tan²(0) = 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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In Exercises 63–65, determine whether
the statement is true or false. Justify your answer.
63. tan x2 = tan2 x 64. cos(θ − π
2) = sin θ
65. The equation sin2 θ + cos2 θ = 1 + tan2 θ is an identity
because sin2(0) + cos2(0) = 1 and 1 + tan2(0) = 1.
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