2012 · Q59
If sin theta cos theta = sqrt(3)/4, then the value of sin^4 theta + cos^4 theta is:
Elementary MathematicsTrigonometry
- A7/8
- B5/8
- C3/8
- D1/8
Explanation
sin^4+cos^4 = 1-2sin^2cos^2 = 1-2*(3/16) = 5/8.
If sin theta cos theta = sqrt(3)/4, then the value of sin^4 theta + cos^4 theta is:
Explanation
sin^4+cos^4 = 1-2sin^2cos^2 = 1-2*(3/16) = 5/8.