0=sqrt(((10cos(x))-8)^2((10sin(x))-6)^2)

Solución

0 = ((10 cos (x)) - 8)^{2} ((10 sin (x)) - 6)^{2}

x = 2 π - 0.64350 \dots + 2 πn, x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

Pasos de solución

0 = ((10 cos (x)) - 8)^{2} ((10 sin (x)) - 6)^{2}

Intercambiar lados

(10 cos (x) - 8)^{2} (10 sin (x) - 6)^{2} = 0

Factorizar

(10 cos (x) - 8)^{2} (10 sin (x) - 6)^{2} : 4 (5 cos (x) - 4)^{2} (5 sin (x) - 3)^{2}

4 (5 cos (x) - 4)^{2} (5 sin (x) - 3)^{2} = 0

Resolver cada parte por separado

(5 cos (x) - 4)^{2} = 0 or (5 sin (x) - 3)^{2} = 0

(5 cos (x) - 4)^{2} = 0 : x = arccos (\frac{4}{5}) + 2 πn, x = 2 π - arccos (\frac{4}{5}) + 2 πn

(5 sin (x) - 3)^{2} = 0 : x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

Combinar toda las soluciones

x = arccos (\frac{4}{5}) + 2 πn, x = 2 π - arccos (\frac{4}{5}) + 2 πn, x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

Mezclar intervalos sobrepuestos

x = 2 π - arccos (\frac{4}{5}) + 2 πn, x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

Mostrar soluciones en forma decimal

x = 2 π - 0.64350 \dots + 2 πn, x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

tan (x) = \frac{4}{2}

- 6 cos (x) = 2 - 2 cos (x)

3 (1 + cos (θ)) = 3

x, y = arccos (x)

arctan (x + \frac{1}{3}) + arctan (x - \frac{1}{3}) = arctan (2)