K- Verify the identity. sin 4 t - cos4 t = 1-2 cos² t Which of the following four statements establishes the identity? O A. sin4 t - cos4 t= (sin ² t - cos² t) (sin ² t - cos² t) = 1-2 cos² t 2 OB. sin 4 t - cos 4 t= (cos² t) (sin ² t+ cos² t) = 1-2 cos² t 2 2 OC. sin 4 t- cos 4 t= (sin² t+ cos2 t) (sin 2 t- cos² t) = 1-2 cos ² t OD. sin4 t- cos 4 t= (sin 2

Given that the identity sin^4(t)-cos^4(t)=1-2cos^2(t) Start on the left side.

Resuelto K- Verify the identity. sin 4 t - cos4 t = 1-2 cos² t

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Pregunta: K- Verify the identity. sin 4 t - cos4 t = 1-2 cos² t Which of the following four statements establishes the identity? O A. sin4 t - cos4 t= (sin ² t - cos² t) (sin ² t - cos² t) = 1-2 cos² t 2 OB. sin 4 t - cos 4 t= (cos² t) (sin ² t+ cos² t) = 1-2 cos² t 2 2 OC. sin 4 t- cos 4 t= (sin² t+ cos2 t) (sin 2 t- cos² t) = 1-2 cos ² t OD. sin4 t- cos 4 t= (sin 2
K- Verify the identity. sin 4 t - cos4 t = 1-2 cos² t Which of the following four statements establishes the identity? O A. sin4 t - cos4 t= (sin ² t - cos² t) (sin ² t - cos² t) = 1-2 cos² t 2 OB. sin 4 t - cos 4 t= (cos² t) (sin ² t+ cos² t) = 1-2 cos² t 2 2 OC. sin 4 t- cos 4 t= (sin² t+ cos2 t) (sin 2 t- cos² t) = 1-2 cos ² t OD. sin4 t- cos 4 t= (sin 2 t) (sin 2 t + cos2 t) = 1-2 cos ² t 2

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Solución
Paso 1
Given that the identity
$\sin^{4} (t) - \cos^{4} (t) = 1 - 2 \cos^{2} (t)$
Explanation:
Start on the left side.
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Respuesta
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Texto de la transcripción de la imagen:

Verify the identity.

sin^{4} t - cos^{4} t = 1 - 2 cos^{2} t

Which of the following four statements establishes the identity? A.

sin^{4} t - cos^{4} t = (sin^{2} t - cos^{2} t) (sin^{2} t - cos^{2} t) = 1 - 2 cos^{2} t

sin^{4} t - cos^{4} t = (cos^{2} t) (sin^{2} t + cos^{2} t) = 1 - 2 cos^{2} t

sin^{4} t - cos^{4} t = (sin^{2} t + cos^{2} t) (sin^{2} t - cos^{2} t) = 1 - 2 cos^{2} t

sin^{4} t - cos^{4} t = (sin^{2} t) (sin^{2} t + cos^{2} t) = 1 - 2 cos^{2} t