Answer:
Step-by-step explanation:
cos x=sin 2x
sin 2x-cos x=0
2 sin x cos x-cos x=0
cos x(2 sin x-1)=0
either cos x=0

or
2 sin x-1=0

The positions of the sun, earth and shooting star form a right angled triangle, where distance between earth and sun is 'y', and the angle 'x°' is given
Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known
Here, if we use cos x =
we can determine the distance between the shooting star and the sun. This can be done because we know that the base is 'y', the angle is x° and the hypotenuse represents the distance between the sun and the shooting star
Note: cos values for each x are definite.
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