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Prove that : (i)"sin"105^(@)+cos105^(@...

Prove that :
(i)`"sin"105^(@)+cos105^(@)=(1)/(sqrt(2))`
(ii) `cos105^(@)+cos15^(@)="sin"75^(@)-"sin"15^(@)`

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sin105^(@)+cos105^(@)=

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Prove that (i) " 2 cos " 45^(@) " cos " 15^(@)=((sqrt(3)+1))/(2) " "(ii) 2 " sin " 75^(@) " sin " 15^(@)=(1)/(2) (iii) " cos " 15^(@) - " sin " 15 =(1)/(sqrt(2))