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已知三角函数值求角

已知三角函数值求角. 已知三角函数值求角. 若 sinX= 求 X 。. sinX=. Y. 1. O. X. -1. 当 X [- , ] 时 , X=. 当 X [0 ,2 ] 时 , X=. arcsin(- x )=-arcsin x , x ∈[-1,1]. 若 sinX=0.7660 ，求 X 。 若 X=4, 求 X. 若 X=10, 求 X. Y=X. Y=sinX. Y. 1. --. O. X. -1. Y. Y=sinX. 1. -. -1.

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已知三角函数值求角

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  1. 已知三角函数值求角 已知三角函数值求角

  2. 若sinX= 求X。

  3. sinX= Y 1 O X -1 当X [- , ]时, X= 当X [0 ,2 ]时, X=

  4. arcsin(- x )=-arcsin x , x∈[-1,1]

  5. 若sinX=0.7660 ，求X。 若X=4,求X.若X=10,求X. Y=X

  6. Y=sinX Y 1 -- O X -1

  7. Y Y=sinX 1 - -1 1 11 O X -1 -

  8. 函数y =sin x 的反函数叫做反正弦函数： 记作y =arcsin x ,x ∈[-1,1]

  9. y =sin x y =arcsin x x∈[-1,1]

  10. arcsin(- x )=-arcsin x , x∈[-1,1]

  11. 练习 （1）arcsin 是什么意思？ （2）若sinX=- ,X [- , ],则X= （3）若sinX=0.7, X [- , ],则X=

  12. Y Y=cosX 1 π O X -1

  13. Y Y=cosX 1 π O X -1

  14. （2）函数y =cos x , x ∈[0, π ]的反函数叫做反余弦函数：记作y= arccosx，x ∈[-1,1]

  15. y =cos x ,x ∈[0, π ] y= arccosx，x ∈[-1,1]

  16. Y Y=cosX 1 π O X -1

  17. （1）已知X [0， ],cosX= 0.7660,求X。

  18. （2）已知X [0， ],cosX= --0.7660,求X。

  19. arccos(- x )= π -arccos x , x ∈[-1,1]

  20. （3）已知X [0，2 ],cosX =--0.7660,求X。

  21. 练习 （1)X [0,2 ],cosX= ,求X。 （2）已知X [0，2 ] cosX=cos61,求X。 (3)已知X [0,2 ], cosX=sin30,求X

  22. 1寻求等式成立的条件 sin(arcsin x )= x ________ cos(arccos x )= x________ arcsin(sin x )= x_________ arccos(cos x )= x_________

  23. 等式成立的条件 sin(arcsin x )= x ，x ∈[-1,1] cos(arccos x )= x ，x ∈[-1,1] arcsin(sin x )= x , x ∈[- ,] arccos(cos x )= x , x ∈[0, π ]

  24. 二.求值 1.sin(arcsin0.7660)=______ 2.cos[arccos(-0.3322)]=_____ 3.sin(arccos0.8)=_______ 4.cos(arcsin )=______

  25. arcsin(- x )=-arcsin x , x∈[-1,1] arccos(- x )= π -arccos x , x ∈[-1,1]

  26. y =sin x y =arcsin x Y 1 - X O -1

  27. y =cos x y= arccosx Y π 1 π X O -1

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