What is the general solution for cos(x)+0.75=0 ?

The general solution for cos(x)+0.75=0 is x=2.41885…+2pin,x=-2.41885…+2pin

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cos(x)+0.75=0

cos (x) + 0.75 = 0

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

Degrees

x = 138.59037 \dots^{\circ} + 36 0^{\circ} n, x = - 138.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) + 0.75 = 0

Move

0.75

to the right side

cos (x) + 0.75 = 0

Subtract

0.75

from both sides

cos (x) + 0.75 - 0.75 = 0 - 0.75

Simplify

cos (x) = - 0.75

cos (x) = - 0.75

Apply trig inverse properties

cos (x) = - 0.75

General solutions for

cos (x) = - 0.75

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x = arccos (- 0.75) + 2 πn, x = - arccos (- 0.75) + 2 πn

x = arccos (- 0.75) + 2 πn, x = - arccos (- 0.75) + 2 πn

Show solutions in decimal form

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

5 sin (c) + 21 = 0

0.47 \cdot 0.2 = 10 \cdot 9.8 sin (x)

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

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

3 tan^{2} (θ) + 5 tan (θ) = 2

What is the general solution for cos(x)+0.75=0 ?
The general solution for cos(x)+0.75=0 is x=2.41885…+2pin,x=-2.41885…+2pin