Power-Reducing Trigonometric Calculator

°
Enter angle in °.
Math

Power-Reducing Trigonometric with stated conventions, validation and a worked example.

Formula

sin²θ=(1−cos2θ)/2; cos²θ=(1+cos2θ)/2

Example Calculation

Example inputs
  • Angle: 30 °

At 30°, sin²θ=1/4 and cos²θ=3/4.

Method references

Frequently asked questions

How do I use this calculator?

Enter angle. The result updates automatically. Use Reset to restore the example values.

What method does it use?

sin²θ=(1−cos2θ)/2; cos²θ=(1+cos2θ)/2. Angles are in degrees unless the unit selector says otherwise. Outputs are numerical approximations. A denominator with magnitude below 10⁻¹² is treated as singular.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.