What is the general solution for 7-6sin(x)=3+2sin(x) ?

The general solution for 7-6sin(x)=3+2sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin

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7-6sin(x)=3+2sin(x)

7 - 6 sin (x) = 3 + 2 sin (x)

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

Solution steps

7 - 6 sin (x) = 3 + 2 sin (x)

Solve by substitution

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

sin (x) = \frac{1}{2} : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Combine all the solutions

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

cos (θ) = \frac{2 \cdot 1 0 ^{- 5}}{54 \cdot 1 0 ^{- 6}}

sin (a) = \frac{9}{41}

sin (x) = \frac{10}{300}

cos^{2} (x) + 2 sin (x) = 2

cos (21 6^{\circ}) = cos^{2} (a) - sin^{2} (a)

What is the general solution for 7-6sin(x)=3+2sin(x) ?
The general solution for 7-6sin(x)=3+2sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin