What is the general solution for 6sin(A)-3=0 ?

The general solution for 6sin(A)-3=0 is A= pi/6+2pin,A=(5pi)/6+2pin

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6sin(A)-3=0

6 sin (A) - 3 = 0

A = \frac{π}{6} + 2 πn, A = \frac{5 π}{6} + 2 πn

Solution steps

6 sin (A) - 3 = 0

Move

3

to the right side

6 sin (A) = 3

Divide both sides by

6

sin (A) = \frac{1}{2}

General solutions for

sin (A) = \frac{1}{2}

A = \frac{π}{6} + 2 πn, A = \frac{5 π}{6} + 2 πn

2 sin^{2} (2 θ) + 3 sin (2 θ) + 1 = 0

6 cos (2 x) + cos (2 x) = 1

0.8 = \frac{1}{2} (1 - cos (\frac{θ}{2}))

2 tan^{2} (x) + tan (x) - 2 = 0

3 sec (θ) + 1 = 7, 0 \leq θ < 2 π

What is the general solution for 6sin(A)-3=0 ?
The general solution for 6sin(A)-3=0 is A= pi/6+2pin,A=(5pi)/6+2pin