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secondary 4 | A Maths
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Date Posted: 3 years ago
Views: 205
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sec² x + sec x tan x
1/cos² x + (1/cos x)(sin x / cos x)
= 1/cos² x + sin x / cos² x
= (1 + sin x) / cos² x
= (1 + sin x) / (1 - sin² x)
= (1 + sin x) / [(1 - sin x)(1 + sin x)]
= 1 / (1 - sin x)
(Proved)
1/cos² x + (1/cos x)(sin x / cos x)
= 1/cos² x + sin x / cos² x
= (1 + sin x) / cos² x
= (1 + sin x) / (1 - sin² x)
= (1 + sin x) / [(1 - sin x)(1 + sin x)]
= 1 / (1 - sin x)
(Proved)
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