题目内容

(1)求值tan10°-1);

(2)求值[2sin50°+sin10°1+tan10°)]·

?

(1)解法一:原式=(tan10°-tan60°)==·=·=·=-2.

解法二:原式=(tan10°-tan60°)·

=-tan50°(1+tan10°tan60°)

=(cos10°+sin10°)

=-cos10°+sin10°)

=-cos50°

=-2.

(2)解:原式=(2sin50°+sin10°·)·sin80°

=[2sin50°+2sin10°··sin80°

=[2sin50°+2sin10°·]·sin80°

=·sin80°

=·cos10°

=2·sin(50°+10°)=2·sin60°=.

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