(sin^{22}(a))/(sin^2(a))=4-4sin^2(a)

Solución

\frac{sin ^{22} ( a )}{sin ^{2} ( a )} = 4 - 4 sin^{2} (a)

a = 1.25989 \dots + 2 πn, a = π - 1.25989 \dots + 2 πn, a = - 1.25989 \dots + 2 πn, a = π + 1.25989 \dots + 2 πn

Pasos de solución

\frac{sin ^{22} ( a )}{sin ^{2} ( a )} = 4 - 4 sin^{2} (a)

Usando el método de sustitución

sin (a) = 0.90641 \dots, sin (a) = - 0.90641 \dots

sin (a) = 0.90641 \dots : a = arcsin (0.90641 \dots) + 2 πn, a = π - arcsin (0.90641 \dots) + 2 πn

sin (a) = - 0.90641 \dots : a = arcsin (- 0.90641 \dots) + 2 πn, a = π + arcsin (0.90641 \dots) + 2 πn

Combinar toda las soluciones

a = arcsin (0.90641 \dots) + 2 πn, a = π - arcsin (0.90641 \dots) + 2 πn, a = arcsin (- 0.90641 \dots) + 2 πn, a = π + arcsin (0.90641 \dots) + 2 πn

Mostrar soluciones en forma decimal

a = 1.25989 \dots + 2 πn, a = π - 1.25989 \dots + 2 πn, a = - 1.25989 \dots + 2 πn, a = π + 1.25989 \dots + 2 πn

tan^{3} (x) = 2

sin^{3} (x) = 3 sin (x)

cos^{4} (x) + 2 sin^{2} (x) + 6 cos^{2} (x) + 5 = 0

1 + sin (2 a) = sin^{2} (a)

\frac{( cos ^{3} ( a ) )}{( 2 cos ^{2} ( a ) - 1 )} = cos (a)