Evaluate each of the following

$(c o s 0^{o} + s i n 45^{o} + s i n 30^{o}) (s i n 90^{o} - c o s 45^{o} + c o s 60^{o})$

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Solution

(cos 0o+sin 45o+sin 30o)(sin 90o−cos 45o+cos 60o)

=(1+1/2½+1/2)(1-1/2½+1/2)
=7/4

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Similar questions

(c o s 0^{\circ} + s i n 45^{\circ} + s i n 30^{\circ}) (s i n 90^{\circ} - c o s 45^{\circ} + c o s 60^{\circ})

(cos 0^{\circ} + sin 45^{\circ} + sin 30^{\circ}) (sin 90^{\circ} - cos 45^{\circ} + cos 60^{\circ}) =

(cos 0^{\circ} + sin 45^{\circ} + sin 30^{\circ}) (sin 90^{\circ} - cos 45^{\circ} + cos 60^{\circ})

(cos 0^{\circ} + sin 45^{\circ} + sin 30^{\circ}) (sin 90^{\circ} - cos 45^{\circ} + cos 60^{\circ})

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