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Simply fully, without using a calculator: $\dfrac{\cos{(-225^{\circ})}.\sin{135^{\circ}}+\sin{330^{\circ}}}{\tan{225^{\circ}}}$
in Mathematics by Diamond (62,510 points) | 282 views

1 Answer

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use reduction formula and quadrant values

= (-cos45.sin45 - sin30)/tan45, then apply special angle values

= [-1/sqroot(2) . 1/sqroot(2) - 1/2]/1

= -1/2 - 1/2

= -1
by Diamond (42,484 points)

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