求值:1/sin10°-根号3/cos10°=

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求值:1/sin10°-根号3/cos10°=

1/sin10°-根号3/cos10°
=(cos10-根3*sin10)/(sin10*cos10)
=4*(sin150*cos10+sin10*cos150)/sin20
=4*sin160/sin20
=4

您好
1/sin10°-根号3/cos10°
=(cos10-根3*sin10)/(sin10*cos10)
=4*(sin150*cos10+sin10*cos150)/sin20
=4*sin160/sin20
=4
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1/sin10°-根号3/cos10°
=(cos10-根3*sin10)/(sin10*cos10)
=4*(sin150*cos10+sin10*cos150)/sin20
=4*sin160/sin20
=4

原式=(cos10-根号3 sin10)/(sin10cos10)
=2(1/2 *cos10-根号3 /2 sin10)/(sin10cos10)
=2(sin30*cos10-cos30 sin10)/(sin10cos10)
=2(sin(30-10))/(sin10cos10)
=2sin20/(sin10cos10)
=4