Given 1+ cos x/ sin x + sin x/1+ cos x= 4, find a numerical value of one trigonometric function of x.

The numerical value of the trigonometric function is 30 °

Step-by-step explanation:

Given trigonometric function as :

+ = 4

or, Taking LCM we get

= 4

Or,  ( 1 + cos x )² + sin² x = 4 × ( sin x ) × ( 1 + cos x )

1 + cos² x + 2 cox + sin² x = 4 sin x + 4 sin x × cos x

or, (  cos² x + sin² x ) + ( 1 + 2 cos x ) = 4 sin x ( 1 + cos x )

 ∵  cos² x + sin² x = 1

or,  1 + 1 + 2 cos x  = 4 sin x ( 1 + cos x )

or, 2 + 2 cos x = 4 sin x ( 1 + cos x )

or, 2 ( 1 + cos x ) = 4 sin x ( 1 + cos x )

Or, = sin x

Or, sin x =

∴  x =

 ∵ sin 30 ° =

I.e  x = 30 °

Hence The numerical value of the trigonometric function is 30 °  answer

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

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