已知cos(a+?π)=3/5,π/2≤a<3π/2.求cos2a.更改:已知cos(a+π/4)=3/5

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已知cos(a+?π)=3/5,π/2≤a<3π/2.求cos2a.
更改:已知cos(a+π/4)=3/5

因为 π/2 ≤a <3π/2,
所以 3π/4 ≤a +π/4 0,
所以 3π/2

cos(a+π/4)=√2/2(cos a-sin a)=3/5
} =>cos a=7√2/10
sin(a+π/4)=√2/2(cos a+sin a)=4/5
...

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cos(a+π/4)=√2/2(cos a-sin a)=3/5
} =>cos a=7√2/10
sin(a+π/4)=√2/2(cos a+sin a)=4/5
=>cos 2a=2cos² a -1= -51/100

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