高一数学用定义法、公式一以及计算器等求下列角的三个三角函数值:(1)-17∏/3 (2)21∏/4 (3)-23∏/6(4)1500°
2019-05-02
高一数学
用定义法、公式一以及计算器等求下列角的三个三角函数值:
(1)-17∏/3 (2)21∏/4 (3)-23∏/6
(4)1500°
优质解答
1 -17π/3=-6π+π/3
sin-17π/3=sinπ/3=√3/2 cos-17π/3=cosπ/3=1/2 tan-17π/3=tanπ/3=√3
2 21π/4=5π+π/4
sin21π/4=sin(π+π/4)=-sinπ/4=-√2/2
cos21π/4=cos(π+π/4)=-cosπ/4=-√2/2
tan21π/4=tan(π+π/4)=tanπ/4=1
3 -23π/6=-4π+π/6
sin-23π/6=sinπ/6=1/2
cos-23π/6=cosπ/6=√3/2
tan-23π/6=tanπ/6=√3/3
4 1500°=1440°+60°=4×360°+60°
sin1500°=sin60°=√3/2
cos1500°=cos60°=1/2
tan1500°=tan60°=√3
1 -17π/3=-6π+π/3
sin-17π/3=sinπ/3=√3/2 cos-17π/3=cosπ/3=1/2 tan-17π/3=tanπ/3=√3
2 21π/4=5π+π/4
sin21π/4=sin(π+π/4)=-sinπ/4=-√2/2
cos21π/4=cos(π+π/4)=-cosπ/4=-√2/2
tan21π/4=tan(π+π/4)=tanπ/4=1
3 -23π/6=-4π+π/6
sin-23π/6=sinπ/6=1/2
cos-23π/6=cosπ/6=√3/2
tan-23π/6=tanπ/6=√3/3
4 1500°=1440°+60°=4×360°+60°
sin1500°=sin60°=√3/2
cos1500°=cos60°=1/2
tan1500°=tan60°=√3