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Adelle · Answer 1 · 2018-05-30T11:25:29+0000

hello :
by identity : cos²(x)+sin²(x) = 1
divide by cos²(x) :
cos²(x) /cos²(x) +sin²(x)cos²(x)/ = 1/cos²(x)
1+sin²(x)cos²(x)/ = 1/cos²(x)
1+ (sin(x)/cos(x))² = 1/cos²(x)
1+tan²(x) = 1/cos²(x)
conclusion :
tan²(x) = 1/cos²(x) -1

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