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Show that |{:("sin"10^(@), -"cos"10^(@))...

Show that `|{:("sin"10^(@), -"cos"10^(@)), ("sin"80^(@), "cos"80^(@)):}| =1.`

A

0

B

1

C

-1

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
B
`|{:("sin" 10^(@),-"cos"10^(@)),("sin"80^(@),"cos"80^(@)):}|`
`=sin 10^(@)cos80^(@)+sin80^(@)cos10^(@)`
`=sin10^(@)sin10^(@)+cos10^(@)cos10^(@)`
`=sin^(2)10^(@) + cos^(@)10^(@)=1`
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