Yes, but the formula is not as nice as the one for the double angle. To calculate sin 4 theta, follow these simple steps:
Calculate sin(4Θ) using the double angle identity: sin(4Θ) = 2sin(2Θ)cos(2Θ).
Rewrite the cosine using the Pythagorean identity sin(4Θ) = 2sin(2Θ)sqrt(1 - sin²(2Θ)).
Use again the double angle identity to calculate sin 4 theta as a function of sin(Θ) and cos(Θ): sin(4Θ) = 2(2sin(Θ)cos(Θ))sqrt(1 - (2sin(Θ)cos(Θ))²).
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