Question

Вычислите :
arcsin(sin(-$\frac{17}{5}$П)=

Answer 1

task/29453518

Вычислить  arcsin( sin(- 17π/5) )

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arcsin( sin(- 17π/5) ) =||  постепенно: куда спешим || = arcsin( -sin(17π/5)  ) =

arcsin( -sin( 2π + ( π +2π/5)  )  ) = arcsin( -sin( π +2π/5)  ) = arcsin( sin(2π/5)  )  =

= 2π/5 .

* * *  - π/2≤  2π/5 ≤  π/2  ; sin(-φ) =- sinφ ; sin(2π+φ) =sinφ ; sin(π+φ) =- sinφ* * *