(i) Show that v2 sin(x - 45°) = sin x – cos x (ii) Hence sketch the graph of y = sin x – cos x for 0 1 for 0 s xS 360°, (37) %3D

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter11: Topics From Analytic Geometry
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(i) Show that v2 sin(x - 45°) = sin x – cos x
(ii) Hence sketch the graph of y = sin x – cos x for 0<x< 360°
(iii) Show that x = 90° is a solution to the equation sin x – cos x = 1 and hence with the aid of
your sketch solve sín x – cos x > 1 for 0 s xS 360°, (37)
%3D
Transcribed Image Text:(i) Show that v2 sin(x - 45°) = sin x – cos x (ii) Hence sketch the graph of y = sin x – cos x for 0<x< 360° (iii) Show that x = 90° is a solution to the equation sin x – cos x = 1 and hence with the aid of your sketch solve sín x – cos x > 1 for 0 s xS 360°, (37) %3D
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