What is the general solution for 3cos(30)+4cos(y)=3 ?

The general solution for 3cos(30)+4cos(y)=3 is y=1.47014…+360n,y=360-1.47014…+360n

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3cos(30)+4cos(y)=3

3 cos (3 0^{\circ}) + 4 cos (y) = 3

y = 1.47014 \dots + 36 0^{\circ} n, y = 36 0^{\circ} - 1.47014 \dots + 36 0^{\circ} n

Solution steps

3 cos (3 0^{\circ}) + 4 cos (y) = 3

cos (3 0^{\circ}) = \frac{3}{2}

3 \cdot \frac{3}{2} + 4 cos (y) = 3

Move

3 \frac{3}{2}

to the right side

4 cos (y) = 3 - \frac{3 3}{2}

Divide both sides by

4

cos (y) = \frac{6 - 3 3}{8}

Apply trig inverse properties

y = arccos (\frac{6 - 3 3}{8}) + 36 0^{\circ} n, y = 36 0^{\circ} - arccos (\frac{6 - 3 3}{8}) + 36 0^{\circ} n

Show solutions in decimal form

y = 1.47014 \dots + 36 0^{\circ} n, y = 36 0^{\circ} - 1.47014 \dots + 36 0^{\circ} n

tan (y) = \frac{6}{4}

cos (x) = \frac{- 1 + 5}{4}

t, a = 5 \cdot sin (t)

cos^{(2)} (x) = \frac{( 3 ( 1 - sin ( x ) ) )}{( 2 )}

\frac{1}{2} sin (\frac{x}{5}) = 0

What is the general solution for 3cos(30)+4cos(y)=3 ?
The general solution for 3cos(30)+4cos(y)=3 is y=1.47014…+360n,y=360-1.47014…+360n