1)(sin^2a+cos^2a)^2=1
2)sin^2a+cos^2a+2sinacosa+sin^2a+cos^2a-2sinacosa=2(sin^2a+cos^2a)=2
3)(sin^2a+cos^2a)(sin^a-cos^2a)+cos^2a=sin^2a
4) cos^2a+sin^2a(sin^2a+co^2a)=cos^2a+sin^2a=1
5)1/sina-cosa/sina*cosa=(1-cos^2a)/sina=sina
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2) (sin a+cos a)^2+(sin a-cos a)^2=sin^2 a+2sina cos a+cos^2 a+sin^2 a-2sina cos a+cos^2 a=2sin^2 a+2cos^2 a=2(sin^2 a+cos^2 a)=2*1=2[/tex]
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Verified answer
1)(sin^2a+cos^2a)^2=1
2)sin^2a+cos^2a+2sinacosa+sin^2a+cos^2a-2sinacosa=2(sin^2a+cos^2a)=2
3)(sin^2a+cos^2a)(sin^a-cos^2a)+cos^2a=sin^2a
4) cos^2a+sin^2a(sin^2a+co^2a)=cos^2a+sin^2a=1
5)1/sina-cosa/sina*cosa=(1-cos^2a)/sina=sina
Verified answer
1)
2) (sin a+cos a)^2+(sin a-cos a)^2=sin^2 a+2sina cos a+cos^2 a+sin^2 a-2sina cos a+cos^2 a=2sin^2 a+2cos^2 a=2(sin^2 a+cos^2 a)=2*1=2[/tex]
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