What is the general solution for tan(x)=tan(50) ?

The general solution for tan(x)=tan(50) is x=0.87266…+180n

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tan(x)=tan(50)

tan (x) = tan (5 0^{\circ})

x = 0.87266 \dots + 18 0^{\circ} n

Radians

x = 0.87266 \dots + πn

Solution steps

tan (x) = tan (5 0^{\circ})

Apply trig inverse properties

tan (x) = tan (5 0^{\circ})

General solutions for

tan (x) = tan (5 0^{\circ})

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

x = arctan (tan (5 0^{\circ})) + 18 0^{\circ} n

x = arctan (tan (5 0^{\circ})) + 18 0^{\circ} n

Show solutions in decimal form

x = 0.87266 \dots + 18 0^{\circ} n

tan (θ) = 3, 0 < x < 2 π

cos (A) + 1 = 4 cos (A) + 1

3 cos (x) + 2 = 0

sin (θ) = 0.7 cos (9 0^{\circ} - θ)

cos (θ) = \frac{4}{2}

What is the general solution for tan(x)=tan(50) ?
The general solution for tan(x)=tan(50) is x=0.87266…+180n