2014 · Q59
If sin θ cos θ = 1/2, then what is sin^6 θ + cos^6 θ equal to?
Elementary MathematicsTrigonometry
- A1
- B2
- C3
- D1/4
Explanation
sin^6+cos^6 = 1 - 3sin^2θcos^2θ = 1 - 3(1/4) = 1/4.
If sin θ cos θ = 1/2, then what is sin^6 θ + cos^6 θ equal to?
Explanation
sin^6+cos^6 = 1 - 3sin^2θcos^2θ = 1 - 3(1/4) = 1/4.