What is the general solution for tan(x)=tan(40)tan(50) ?

The general solution for tan(x)=tan(40)tan(50) is x=0.78539…+180n

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tan(x)=tan(40)tan(50)

tan (x) = tan (4 0^{\circ}) tan (5 0^{\circ})

x = 0.78539 \dots + 18 0^{\circ} n

Solution steps

tan (x) = tan (4 0^{\circ}) tan (5 0^{\circ})

Apply trig inverse properties

x = arctan (tan (4 0^{\circ}) tan (5 0^{\circ})) + 18 0^{\circ} n

Show solutions in decimal form

x = 0.78539 \dots + 18 0^{\circ} n

tan (x) + tan (2 x) = 0

3 cos (2 θ) + 2 = - cos (θ)

cos (x) = \frac{7.2}{9.4}

sin (θ) = - 2 - cos (θ)

sin (2 θ) = 3 cos (2 θ)

What is the general solution for tan(x)=tan(40)tan(50) ?
The general solution for tan(x)=tan(40)tan(50) is x=0.78539…+180n