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Learn Exercise 3.4 with Free Lessons & Tips

Find the principal and general solutions of the equation

Therefore, the principal solutions are x =and.

Therefore, the general solution is

Comments

Find the principal and general solutions of the equation

sec x=2

cos x=1/secx=1/2

x=Π/3

cos(2Π-x)=cosx

cos(2Π-Π/3)=cos(5Π/3)=1/2

principal solutions are Π/3 and 5Π/3

cosx=cosΠ/3

x=2nΠ±Π/3 ,n∈Z, is the general solution

Comments

Find the principal and general solutions of the equation

tanx=-1/√3

tan Π/6=1/√3

tan(Π-x)=-tanx=-1/√3

tan(Π-Π/6)=tan(5Π/6)=-1/√3

tan(2Π-x)=-tanx=-1/√3

tan(2Π-Π/6)=tan(11Π/6)=-1/√3

principal solutions are 5Π/6 and 11Π/6

tanx=tan5Π/6

x=nΠ+5Π/6, n∈Z is the general solution

Comments

Find the general solution of cosec x = –2

cosec x = –2

Therefore, the principal solutions are x =.

Therefore, the general solution is

Comments

Find the general solution of the equation

Comments

Find the general solution of the equation

Comments

Find the general solution of the equation

Therefore, the general solution is.

Comments

Find the general solution of the equation

Therefore, the general solution is.

Comments

Find the general solution of the equation

Therefore, the general solution is

Comments

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