In spherical polar coordinates (l, q, a), q denotes the polar angle around z-axis and a denotes the azimuthal angle raised from x-axis . Then the y-component of P is given by

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Q: (CDS-I/2019)
In spherical polar coordinates (l, q, a), q denotes the polar angle around z-axis and a denotes the azimuthal angle raised from x-axis . Then the y-component of P is given by

question_subject: 

Maths

question_exam: 

CDS-I

stats: 

0,4,4,4,2,1,1

keywords: 

{'spherical polar coordinates': [0, 0, 0, 1], 'azimuthal angle': [0, 0, 0, 1], 'polar angle': [0, 0, 0, 1], 'psinq sina': [0, 0, 0, 1], 'pcosq sina': [0, 0, 0, 1], 'psinq cosa': [0, 0, 0, 1], 'axis': [0, 0, 0, 1], 'pcosq cosa': [0, 0, 0, 1], 'component': [1, 1, 1, 7], 'denotes': [1, 1, 2, 3]}

In spherical polar coordinates (r, [REPLACEMENT], φ), the polar angle [REPLACEMENT] represents the angle between the positive z-axis and the line connecting the point to the origin. The azimuthal angle φ represents the angle between the positive x-axis and the projection of the line connecting the point to the origin onto the xy-plane.

In this question, we are given the coordinates of a point P in spherical polar coordinates represented as (r, [REPLACEMENT], φ). We need to find the y-component of this point.

The y-component of a point is given by the product of the radial component (r) and the sine of the polar angle ([REPLACEMENT]). In this case, the radial component r is denoted as P. Therefore, the y-component of P is given by Psin[REPLACEMENT].

Now, comparing this with the options provided:

Option 1: Psinq sina

Option 2: Psinq cosa

Option 3: Pcosq sina

Option 4: Pcosq cosa

Out of these options, only option 1 matches the expression Psin[REPLACEMENT], which is the correct answer.

Therefore, the correct answer is option 1: Psinq sina.