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secondary 4 | A Maths
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trigonometry
1.
(sec x + tan x)(sec x - tan x)
= sec² x - tan² x
*check ur trigo identities in txtbk,
sec² x - tan² x = 1
2.
(cosec x + cot x)(cosec x - cot x)
= cosec² x - cot² x
*check ur trigo identities in txtbk,
cosec² x - cot² x = 1
therefore,
(sec x + tan x)(sec x - tan x) +
(cosec x + cot x)(cosec x - cot x)
= 1 + 1 = 2 (proved)
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