Answer: D)[tex]\sqrt{3}[/tex]
Step-by-step explanation:
cot(θ) = cos(θ) ÷ sin(θ)
cot(30) = [tex]\frac{\sqrt{3} }{2}[/tex] ÷ [tex]\frac{1}{2}[/tex]
cot(30) = [tex]\sqrt{3}[/tex]
The value of cot30 is √3 if sin30 = 1/2 and cos30 = √3/2 option (D) is correct.
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
sin30 = 1/2
cos30 = √3/2
As we know,
cotA = cosA/sinA
A = 30 degrees
cot30 = cos30/sin30
cot30 = (√3/2)/(1/2)
cot30 = √3
Thus, the value of cot30 is √3 if sin30 = 1/2 and cos30 = √3/2 option (D) is correct.
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