What is the general solution for tan(x)=(0.45*cos(5))/(1-0.45*sin(5)) ?

The general solution for tan(x)=(0.45*cos(5))/(1-0.45*sin(5)) is x=0.43656…+180n

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tan(x)=(0.45cos(5))/(1-0.45sin(5))

tan (x) = \frac{0.45 \cdot cos ( 5 ^{\circ} )}{1 - 0.45 \cdot sin ( 5 ^{\circ} )}

x = 0.43656 \dots + 18 0^{\circ} n

Radians

x = 0.43656 \dots + πn

Solution steps

tan (x) = \frac{0.45 cos ( 5 ^{\circ} )}{1 - 0.45 sin ( 5 ^{\circ} )}

Apply trig inverse properties

tan (x) = \frac{0.45 cos ( 5 ^{\circ} )}{1 - 0.45 sin ( 5 ^{\circ} )}

General solutions for

tan (x) = \frac{0.45 cos ( 5 ^{\circ} )}{1 - 0.45 sin ( 5 ^{\circ} )}

tan (x) = a \Rightarrow x = arctan (a) + 18 0^{\circ} n

x = arctan (\frac{0.45 cos ( 5 ^{\circ} )}{1 - 0.45 sin ( 5 ^{\circ} )}) + 18 0^{\circ} n

x = arctan (\frac{0.45 cos ( 5 ^{\circ} )}{1 - 0.45 sin ( 5 ^{\circ} )}) + 18 0^{\circ} n

Show solutions in decimal form

x = 0.43656 \dots + 18 0^{\circ} n

6 sin (2 x) = 3 cos (3 0^{\circ})

cos (y) = - 1

cot (x) = - \frac{2}{3}

tan (\frac{3 θ}{4}) = \frac{- 3}{3}

30 = 15 cos (\frac{2 π}{365} t) + 43

What is the general solution for tan(x)=(0.45*cos(5))/(1-0.45*sin(5)) ?
The general solution for tan(x)=(0.45*cos(5))/(1-0.45*sin(5)) is x=0.43656…+180n