What is the general solution for cos(x)=((-3)/4) ?

The general solution for cos(x)=((-3)/4) is x=2.41885…+2pin,x=-2.41885…+2pin

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cos(x)=((-3)/4)

cos (x) = (\frac{- 3}{4})

x = 2.41885 \dots + 2 πn, x = - 2.41885 \dots + 2 πn

Solution steps

cos (x) = (\frac{- 3}{4})

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

cos (x) = - \frac{3}{4}

Apply trig inverse properties

x = arccos (- \frac{3}{4}) + 2 πn, x = - arccos (- \frac{3}{4}) + 2 πn

Show solutions in decimal form

x = 2.41885 \dots + 2 πn, x = - 2.41885 \dots + 2 πn

4 (cos (x))^{2} = 5 - 4 sin (x)

tan (2 t) = 1

21 = 3 \cdot 2 \cdot 25 sin (x) + 9.8 \cdot 3 \cdot 2 \cdot 3 \cdot 2 \cdot 0.5

sin (2 x) = \frac{( 3 m - 8 )}{6}

cos (x) (18 - 122) = 12 + 63

What is the general solution for cos(x)=((-3)/4) ?
The general solution for cos(x)=((-3)/4) is x=2.41885…+2pin,x=-2.41885…+2pin