Evaluate:`|(cos15^@,sin15^@),(sin75^@,cos75^@)|`

sin15^@+cos105^@=

(cos10^@+sin10^@)/(cos10^@-sin10^@)=

Prove the following: frac(cos15^@-sin15^@)(cos15^@+sin15^@)=1/sqrt3

(cos12^@-sin12^@)/(cos12^@+sin12^@)+sin147^@/(cos147^@)=

(cos9^@+sin9^@)/(cos9^@-sin9^@)=

sin 15^(@) + cos 105 ^(@) = ............ A) 0 B) 2 sin 15 ^(@) C) cos 15^(@) + sin 15^(@) D) sin 15^(@) - cos 15^(@)

Select and write the correct answer from the given alternatives in each of the following:The value of the expression (sqrt3sin75^@-cos75^@) =

Which one of the following number (s) is/are rational? - 1) sin 15^(@) 2) cos 15^(@) 3) sin 15^(@) cos 15^(@) 4) sin15^(@) cos 75^(@)

The value of cos15^@-sin15^@ is equal to