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patriot [66]
3 years ago
10

X = -135°, cos 2x = _______

Mathematics
1 answer:
Ket [755]3 years ago
4 0

Answer:

cos 2 x=1-sin^2 x

Step-by-step explanation:

x=-135°

cos 2x=cos (-270)=cos (-270+360)=cos 90=0

or cos 2x=1-2sin ²x=1-2(sin (-135))²

=1-2(-sin 135)²

=1-2(sin 135)²

=1-2(sin (180-45))²

=1-2(sin²45)

=1-2 (\frac{1}{\sqrt{2}})²

=1-1

=0

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