[" 8.Prove that "],[[" (i) "cos15^(@)-sin15^(@),=(1)/(sqrt(2))]]

Prove that (i) "cos " 15^(@) - " sin " 15^(@) = (1)/(sqrt(2)) (ii) " cot " 105^(@) - " tan " 105^(@) =2sqrt(3) (iii) (tan 69^(@) + tan 66^(@))/(1-tan 69^(@) tan 66^(@)) =-1

Prove that cos 15 ^(@) - sin 15^(@) = (1)/(sqrt2)

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

Prove : cos15^(@) - sin15^(@) = 1//sqrt2 .

Prove that: cos15^@-sin15^@=1/sqrt2

Prove that, cos^(2)45^(@)-sin^(2)15^(@)=sqrt(3)/(4)

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))

Prove that: cos^(2)45^(@)-sin^(2)15^(0)=(sqrt(3))/(4)

Prove that, cos105^(@)+cos15^(@)=sin75^(@)-sin15^(@)

The value of cos15^(@)-sin15^(@) is