cos(A)=(2^2+2.24^2-2.24^2)/(2(2)(2.24))

Lösung

cos (A) = \frac{2 ^{2} + 2.2 4 ^{2} - 2.2 4 ^{2}}{2 ( 2 ) ( 2.24 )}

A = 1.10802 \dots + 2 πn, A = 2 π - 1.10802 \dots + 2 πn

Radianten

A = 1.10802 \dots + 6.28318 \dots n, A = 5.17515 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (A) = \frac{2 ^{2} + 2.2 4 ^{2} - 2.2 4 ^{2}}{2 ( 2 ) ( 2.24 )}

Vereinfache

\frac{2 ^{2} + 2.2 4 ^{2} - 2.2 4 ^{2}}{2 \cdot 2 \cdot 2.24} : \frac{4}{8.96}

\frac{2 ^{2} + 2.2 4 ^{2} - 2.2 4 ^{2}}{2 \cdot 2 \cdot 2.24}

Addiere gleiche Elemente:

2.2 4^{2} - 2.2 4^{2} = 0

= \frac{2 ^{2}}{2 \cdot 2 \cdot 2.24}

Multipliziere die Zahlen:

2 \cdot 2 \cdot 2.24 = 8.96

= \frac{2 ^{2}}{8.96}

2^{2} = 4

= \frac{4}{8.96}

Wende die Eigenschaften der Trigonometrie an

cos (A) = \frac{4}{8.96}

Allgemeine Lösung für

cos (A) = \frac{4}{8.96}

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

A = arccos (\frac{4}{8.96}) + 2 πn, A = 2 π - arccos (\frac{4}{8.96}) + 2 πn

A = arccos (\frac{4}{8.96}) + 2 πn, A = 2 π - arccos (\frac{4}{8.96}) + 2 πn

Zeige Lösungen in Dezimalform

A = 1.10802 \dots + 2 πn, A = 2 π - 1.10802 \dots + 2 πn

cos (θ) = - \frac{3}{5}, θ, 3

sin (3 x) = 0.5

cos^{2} (x) - 5 sin (x) + 5 = 0

- 4 + cos (4 θ) = \frac{- 8 + 3}{2}

3 cos (x) = 1 + sin (x)