Question

Give formula of Sin(2x) and
Cos(2x) in terms of tanx
class 12​

Answer 1

Answer:

• sin 2x = 2 sinx cosx

= 2 sinx cos²x/ cos x

= 2 tan x (1/ sec² x)

= 2 tanx/ ( 1 + tan²x)

• cos 2A = cos² A - sin²A

cos 2A = (cos²A−sin²A)cos ²A /cos²A

cos 2A = cos²A (1 - tan² A)

cos 2A = (1/ sec²A)(1 - tan² A)

cos 2A = (1−tan²A)/ (1+tan2A)

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hope this helps!