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2sin160°-cos170°-tan160°sin170°
=2sin20°+cos10°+tan20°sin10°
=(2sin20°cos20°+cos20°cos10°+sin20°sin10°)/cos20°
=[sin40°+(cos20°cos10°+sin20°sin10°)]/cos20°
=[sin40°+cos10°]/cos20°
=[sin40°+sin80°]/cos20°
=[2sin60°cos20°]/cos20°
=2sin60°
=2*√3/2
=√3
=2sin20°+cos10°+tan20°sin10°
=(2sin20°cos20°+cos20°cos10°+sin20°sin10°)/cos20°
=[sin40°+(cos20°cos10°+sin20°sin10°)]/cos20°
=[sin40°+cos10°]/cos20°
=[sin40°+sin80°]/cos20°
=[2sin60°cos20°]/cos20°
=2sin60°
=2*√3/2
=√3
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