1 - cot?w + cos²w cot?w 73. sin w %3D csc? w

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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Hi can you help me validate this trigonometric function? Problem 73

1- sin x
71.
1 – sin(-x)
%3D
1
72.
sin-x csc-x + sin-x
tan? x
%3D
cos x
1 - cot? w + cos²w cot² w
73.
sin w
%3D
csc? w
sec? z - csc²z + csc? z cos² z
sec2 z
csc2 z + csc²z cos z
4
tan z
%3D
74.
cot z
Prove that each of the following equations is an identity.
HINT In(a/b) = ln(a) – In(b) and In(ab) = In(a) +
%3D
%3D
for a > 0 and b > 0.
Transcribed Image Text:1- sin x 71. 1 – sin(-x) %3D 1 72. sin-x csc-x + sin-x tan? x %3D cos x 1 - cot? w + cos²w cot² w 73. sin w %3D csc? w sec? z - csc²z + csc? z cos² z sec2 z csc2 z + csc²z cos z 4 tan z %3D 74. cot z Prove that each of the following equations is an identity. HINT In(a/b) = ln(a) – In(b) and In(ab) = In(a) + %3D %3D for a > 0 and b > 0.
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