Answer:
csc(x) = [tex]\sqrt{3}[/tex]
Step-by-step explanation:
sinx + cos^2(x)/sin(x) = sin(x) + (1-sin^2(x))/sin(x) = 1/sin(x) = csc(x)
csc(x) = [tex]\sqrt{3}[/tex]
As per trigonometric identities, the value of cosec (x) is .
"Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation."
The given equation is:
[tex]sin (x) + cot (x) cos (x) = \sqrt{3} \\sin (x) + cot (x) cos (x) = \sqrt{3}\\sin (x) + cos (x) cos (x)/sin (x) = \sqrt{3}\\sin² (x) + cos² (x)]/sin (x) = \sqrt{3}\\ \sqrt{3}sin (x) = 1\\sin (x) = 1/ \sqrt{3}[/tex]
Therefore, [tex]cosec (x) = 1/sin (x) = \sqrt{3}[/tex]
Learn more about trigonometric identities here: https://brainly.com/question/10217941
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