Determine the exact value of cos 465 degrees

Question

a) √3 + √2/2

b) √2 + √3√2/4

c)√2 - √3√2/4

d)2+√2-√3√2/4

Answer 1

cos 465°
= cos(105+360)°
= cos 105°
= cos(60+45)°
= cos60cos45 - sin60sin45
=(1/2)(√2/2) - (√3/2)(√2/2)
= (√2 - √6)/4

Answer 2

I think c) comes closest if you had typed it correctly as

(√2 - √3√2)/4 which then is the same as mine

Answer 3

Ok, thank you!