中等MATH-TRIG-008
Simplify (1 − cos^2 θ) / sin θ, where sin θ ≠ 0.
A. cos θ
B. tan θ
C. sin θ✓ 答案
D. 1
解說
1 − cos^2 θ = sin^2 θ, so the quotient is sin^2 θ / sin θ = sin θ. It is not tan θ, which would need a factor of cos θ in the denominator.
1 − cos^2 θ = sin^2 θ, so the quotient is sin^2 θ / sin θ = sin θ. It is not tan θ, which would need a factor of cos θ in the denominator.