What is the general solution for -3=39.6862600000000…cos(x) ?

The general solution for -3=39.6862600000000…cos(x) is x=1.64646…+2pin,x=-1.64646…+2pin

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-3=39.6862600000000…cos(x)

- 3 = 39.6862600000000 \dots cos (x)

x = 1.64646 \dots + 2 πn, x = - 1.64646 \dots + 2 πn

Degrees

x = 94.33529 \dots^{\circ} + 36 0^{\circ} n, x = - 94.33529 \dots^{\circ} + 36 0^{\circ} n

Solution steps

- 3 = 39.68626 \dots cos (x)

Switch sides

39.68626 \dots cos (x) = - 3

Divide both sides by

39.68626 \dots

39.68626 \dots cos (x) = - 3

Divide both sides by

39.68626 \dots

\frac{39.68626 \dots cos ( x )}{39.68626 \dots} = \frac{- 3}{39.68626 \dots}

Simplify

\frac{39.68626 \dots cos ( x )}{39.68626 \dots} = \frac{- 3}{39.68626 \dots}

Simplify

\frac{39.68626 \dots cos ( x )}{39.68626 \dots} : cos (x)

\frac{39.68626 \dots cos ( x )}{39.68626 \dots}

Cancel the common factor:

39.68626 \dots

= cos (x)

Simplify

\frac{- 3}{39.68626 \dots} : - 0.07559 \dots

\frac{- 3}{39.68626 \dots}

Apply the fraction rule:

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

= - \frac{3}{39.68626 \dots}

Divide the numbers:

\frac{3}{39.68626 \dots} = 0.07559 \dots

= - 0.07559 \dots

cos (x) = - 0.07559 \dots

cos (x) = - 0.07559 \dots

cos (x) = - 0.07559 \dots

Apply trig inverse properties

cos (x) = - 0.07559 \dots

General solutions for

cos (x) = - 0.07559 \dots

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

x = arccos (- 0.07559 \dots) + 2 πn, x = - arccos (- 0.07559 \dots) + 2 πn

x = arccos (- 0.07559 \dots) + 2 πn, x = - arccos (- 0.07559 \dots) + 2 πn

Show solutions in decimal form

x = 1.64646 \dots + 2 πn, x = - 1.64646 \dots + 2 πn

1 + cos (θ) = - cos (θ)

2 cos^{2} (x) - cos (- x) - 1 = 0

3 sec^{2} (u) + 7 tan (u) = 3

3 sin (t) = 2 cos^{2} (t)

sin (θ) = \frac{12 sin ( 4 3 ^{\circ} )}{9}

What is the general solution for -3=39.6862600000000…cos(x) ?
The general solution for -3=39.6862600000000…cos(x) is x=1.64646…+2pin,x=-1.64646…+2pin