cos(x)=(-2)/(sqrt(2))

Lösung

cos (x) = \frac{- 2}{2}

Keine L \overset{o}{¨} sung f \overset{u}{¨} r x \in R

Schritte zur Lösung

cos (x) = \frac{- 2}{2}

Vereinfache

\frac{- 2}{2} : - 2

\frac{- 2}{2}

Wende Bruchregel an:

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

= - \frac{2}{2}

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

2 = 2^{\frac{1}{2}}

= \frac{2}{2 ^{\frac{1}{2}}}

Wende Exponentenregel an:

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

\frac{2 ^{1}}{2 ^{\frac{1}{2}}} = 2^{1 - \frac{1}{2}}

= 2^{1 - \frac{1}{2}}

Subtrahiere die Zahlen:

1 - \frac{1}{2} = \frac{1}{2}

= 2^{\frac{1}{2}}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

2^{\frac{1}{2}} = 2

= - 2

- 1 \leq cos (x) \leq 1

Keine L \overset{o}{¨} sung f \overset{u}{¨} r x \in R

tan (x) = - 0.22

so l v e f or θ, 1 + cos (θ) = 3 cos (θ)

3 sin (x) - 4 cos (x) = 0

sin (θ) = \frac{1}{4}, 0^{\circ} < θ < 9 0^{\circ}

sin (90 - 2 x) = cos (9 0^{\circ} - x)