Trigonometryhard · Past Paper
Simplify sin^6 A + cos^6 A + 3 sin^2 A cos^2 A.
A0
B1
C2
D3
✓ Correct Answer: B — 1
Using (a^2+b^2)^3 expansion where a=sin and b=cos, it results in (sin^2 + cos^2)^3 = 1.
Share this question
More from Trigonometry
- Simplify: (cos A - sin A)(cos A + sin A).
- Evaluate: sin⁶θ + cos⁶θ + 3 sin²θ cos²θ
- In a right triangle, if p=5, b=12, then find h.
- The minimum value of cos theta for theta between 0 and 90 degrees inclusive is:
- In a right triangle, if the perpendicular is 3 units and the base is 4 units, what is the hypotenuse?