cos(x)=(2.16)/(3.42)

Solução

cos (x) = \frac{2.16}{3.42}

x = 0.88720 \dots + 2 πn, x = 2 π - 0.88720 \dots + 2 πn

Graus

x = 50.83328 \dots^{\circ} + 36 0^{\circ} n, x = 309.16671 \dots^{\circ} + 36 0^{\circ} n

Passos da solução

cos (x) = \frac{2.16}{3.42}

Aplique as propriedades trigonométricas inversas

cos (x) = \frac{2.16}{3.42}

Soluções gerais para

cos (x) = \frac{2.16}{3.42}

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

x = arccos (\frac{2.16}{3.42}) + 2 πn, x = 2 π - arccos (\frac{2.16}{3.42}) + 2 πn

x = arccos (\frac{2.16}{3.42}) + 2 πn, x = 2 π - arccos (\frac{2.16}{3.42}) + 2 πn

Mostrar soluções na forma decimal

x = 0.88720 \dots + 2 πn, x = 2 π - 0.88720 \dots + 2 πn

2 cos^{2} (θ) - 3 sin (θ) - 3 = 0

sinh (x) = \frac{5}{12}, cosh (x)

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

cos^{4} (x) = 1 + sin^{4} (x)

- 4 cos^{2} (θ) - 11 cos (θ) - 1 = - 7 cos (θ)