Solve for z\displaystyle {z} in

12sin⁡(z)cos⁡(z)=cos⁡(z+150)\displaystyle {1}{2}{\sin{{\left({z}\right)}}}{\cos{{\left({z}\right)}}}={\cos{{\left({z}+{150}\right)}}}

on the interval −150∘<z<120∘\displaystyle -{150}^{\circ}\lt{z}\lt{120}^{\circ} , without making use of a calculator.

 

 

r.a.=\displaystyle {r}.{a}.=  

General Solution(s)

where k∈Z\displaystyle {k}\in\mathbb{Z} or where k∈Z\displaystyle {k}\in\mathbb{Z}
   
where k∈Z\displaystyle {k}\in\mathbb{Z} or where k∈Z\displaystyle {k}\in\mathbb{Z}
   
z=\displaystyle {z}=where k∈Z\displaystyle {k}\in\mathbb{Z}  or z=\displaystyle {z}=where k∈Z\displaystyle {k}\in\mathbb{Z}
   

Specific Solution(s)

z=\displaystyle {z}=

[5]

 

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