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skad [1K]
3 years ago
10

Prove identity: sin2x-tanx=cos2xtanx ​

Mathematics
1 answer:
loris [4]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

sin2x-tanx

= 2sinx cosx - sinx/cos

=  (2sinx cos^2x - sin x) / cos x

= sinx ( 2 cos^2x - 1 ) / cos x

Now sin x / cos x = tanx  and 2 cos^2 x - 1 = cos2x

so this simplifies to cos2x tan x.

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