What is the general solution for tan(A)= 3/4 ?

The general solution for tan(A)= 3/4 is A=0.64350…+pin

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tan(A)= 3/4

tan (A) = \frac{3}{4}

A = 0.64350 \dots + πn

Solution steps

tan (A) = \frac{3}{4}

Apply trig inverse properties

A = arctan (\frac{3}{4}) + πn

Show solutions in decimal form

A = 0.64350 \dots + πn

2 sin (3 x) + 1 = 0

3 sin (θ) = cos (θ), 0 \leq θ \leq 2 π

cos (2 θ) = - \frac{2}{2}

tan (\frac{θ}{2} + \frac{π}{3}) = - 1

sin (2 x) = 3 cos (2 x)

What is the general solution for tan(A)= 3/4 ?
The general solution for tan(A)= 3/4 is A=0.64350…+pin