Find the exact value of the sine function of the given angle. 660 degree sin 660

Question

Find the exact value of the sine function of the given angle. 660 degree sin 660 degree = ___ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Find the exact value of the following expression. cot (-120) degree cot (- 120) degree = ___ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Evaluate the expression. sin^2 135 degree + cos^2 135 degree sin^2 135 degree + cos^2 135 degree =___ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Evaluate the expression. sin^2 240 degree - cos^2 270 degree + tan^2 60 degree sin^2 240 degree - cos^2 270 degree + tan^2 60 degree = ___ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Explanation / Answer

7. sin 660= sin(4pi-60)=-sin60=-sqrt 3 /2

8.cot(-120) = - cot 120= -1/tan(120)=-1/-sqrt3=1/sqrt3

9.sin2135 +cos2135

sin2theta +cos2theta=1

Therefore sin2135+cos2135=1

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