a) 2 Arctan(-1) - Arccsc(√2)
b) Arcsec(sec(29π/6))
b) Arcsec(sec(29π/6))
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a) arctan(-1) = -π/4
arccsc(√2)=arcsin(1/√2)=π/4
so answer = -π/2 - π/4= -3π/4 or -135°
b) 29π/6 = 5π - π/6~π - π/6
sec(29π/6) = sec(π - π/6) = -2/√3
arcsec(-2/√3) = 5π/6 or 150°.
arccsc(√2)=arcsin(1/√2)=π/4
so answer = -π/2 - π/4= -3π/4 or -135°
b) 29π/6 = 5π - π/6~π - π/6
sec(29π/6) = sec(π - π/6) = -2/√3
arcsec(-2/√3) = 5π/6 or 150°.
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a) 2 Arctan(-1) - Arccsc(√2) =
2(-45) - 45 = -135 degrees
= - 3pi/4
b) Arcsec(sec(29π/6)) = 5pi/6
2(-45) - 45 = -135 degrees
= - 3pi/4
b) Arcsec(sec(29π/6)) = 5pi/6