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secondary 4 | A Maths
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trigonometry
Date Posted: 4 years ago
Views: 253
sin²³⁴
sin⁴ θ - cos⁴ θ
= (sin² θ - cos² θ)(sin² θ + cos² θ)
since sin² θ + cos² θ = 1 ,
(sin² θ - cos² θ)(sin² θ + cos² θ)
= sin² θ - cos² θ
since sin² θ = 1 - cos² θ,
sin² θ - cos² θ
= 1 - cos² θ - cos² θ
= 1 - 2cos² θ (proved)
...
sin⁴ θ - cos⁴ θ
= (sin² θ - cos² θ)(sin² θ + cos² θ)
since sin² θ + cos² θ = 1 ,
(sin² θ - cos² θ)(sin² θ + cos² θ)
= sin² θ - cos² θ
since sin² θ = 1 - cos² θ,
sin² θ - cos² θ
= 1 - cos² θ - cos² θ
= 1 - 2cos² θ (proved)
...
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done
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Something like this would be good
Date Posted:
4 years ago
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