What is the general solution for 3cos(45)+4cos(y)=3 ?

The general solution for 3cos(45)+4cos(y)=3 is y=1.34932…+360n,y=360-1.34932…+360n

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3cos(45)+4cos(y)=3

3 cos (4 5^{\circ}) + 4 cos (y) = 3

y = 1.34932 \dots + 36 0^{\circ} n, y = 36 0^{\circ} - 1.34932 \dots + 36 0^{\circ} n

Solution steps

3 cos (4 5^{\circ}) + 4 cos (y) = 3

cos (4 5^{\circ}) = \frac{2}{2}

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

Move

3 \frac{2}{2}

to the right side

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

Divide both sides by

4

cos (y) = \frac{6 - 3 2}{8}

Apply trig inverse properties

y = arccos (\frac{6 - 3 2}{8}) + 36 0^{\circ} n, y = 36 0^{\circ} - arccos (\frac{6 - 3 2}{8}) + 36 0^{\circ} n

Show solutions in decimal form

y = 1.34932 \dots + 36 0^{\circ} n, y = 36 0^{\circ} - 1.34932 \dots + 36 0^{\circ} n

cos (3 θ) = cos (θ)

(tan (x) - sec (x))^{2} = 3

y, ln (x^{2} + 10) + csc (y) = c

sin (a) = \frac{7}{15}

\frac{3 3}{14} = sin (x)

What is the general solution for 3cos(45)+4cos(y)=3 ?
The general solution for 3cos(45)+4cos(y)=3 is y=1.34932…+360n,y=360-1.34932…+360n