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# Sine to the Fourth Power Calculator

Finding the fourth power of sine for the given angle is made simpler and easier here with this calculator. The angle is represented by Î±, and as a whole, the fourth power of sine is represented as sin4(Î±). In the below sine to the fourth power calculator enter the value for alpha (angle) and click calculate to know the fourth power of sine for that angle. This online trigonometric calculator works based on the equation sin4(Î±) = (cos4Î± - 4cos2Î± +3) / 8.

## Find Fourth Power of Sine

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Finding the fourth power of sine for the given angle is made simpler and easier here with this calculator. The angle is represented by Î±, and as a whole, the fourth power of sine is represented as sin4(Î±). In the below sine to the fourth power calculator enter the value for alpha (angle) and click calculate to know the fourth power of sine for that angle. This online trigonometric calculator works based on the equation sin4(Î±) = (cos4Î± - 4cos2Î± +3) / 8.

#### Formula:

sin4α = (cos4 α - 4 cos2α + 3) / 8 Where, sin-Sine cos-Cosine α-Angle

### Example:

Find sine to the fourth power of 45 degrees.

#### Solution:

sin4α = (cos4 α - 4 cos2α + 3) / 8
sin4 45 = (cos 4(45) - 4 cos 2(45) + 3) / 8
= 0.25 degrees