Question

Which trigonometric function is used to find the angle between a line and a plane?

(a) Tangent

(b) Cosecant

(c) Secant

(d) Sine

This question was posed to me in an online quiz.

I would like to ask this question from Three Dimensional Geometry in chapter Three Dimensional Geometry of Mathematics – Class 12

Answer 1

The correct option is (d) Sine

Explanation: The trigonometric function is used to find the angle between a line and a plane is sine. If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then sin θ=\(\frac {a1a2.b1b2.c1c2}{\sqrt {a^2+b^2+c^2} \sqrt{a1^2+b1^2+c1^2 }}\).