How to find the sine value of the angle between a straight line and a plane in math problems?

A method for finding the included angle of straight lines on different planes

1, geometric method:

(1) Translation to find the angle formed by straight lines on different planes;

(2) Prove that the angle or other angles are angles formed by a straight line and different planes;

③ Solve the triangle to find the angle or the trigonometric function value of the angle.

pay attention to

There are generally three geometric methods: ① using the existing parallel lines in the figure to translate; ② Use special points as parallel lines for translation; (3) Make use of the geometric characteristics of the straight line in different planes to complement and translate.

2. Vector method:

Second, the typical case analysis

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