Theorems · Theorem · real analysis
Real.sq_cos_pi_div_six
Real.cos (Real.pi / 6) ^ 2 = 3 / 4
The square of the cosine of π / 6 is 3 / 4 (this is sometimes more convenient than the
result for cosine itself).
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement · cited by 1,774
- Real.sqrtproof · cited by 545
- Real.cosstatement · cited by 424
- div_powproof · cited by 66
- Real.sq_sqrtproof · cited by 53
- Real.cos_pi_div_sixproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Real.sq_sin_pi_div_threeproof · cited by 0