Question

if X2 cot 30 =tan 60 sin 60 cos 30, what is the value of X
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Answer 1

Answer:

x=√3/2

Step-by-step explanation:

x²cot30=tan60 sin 60 cos 30

x²√3=√3×(√3/2)(√3/2)

x²=(√3/2)(√3/2)

x=√3/2

Answer 2

Answer:

${x}^{2} \cot(30) = \tan(60) \cos(30) \sin(60) \\ = \sqrt{3} {x}^{2} = \sqrt{3} \times \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} \\ = \sqrt{3} {x}^{2} = \frac{3 \sqrt{3} }{2} \\ = {x}^{2} = \frac{3 \sqrt{3} }{2 \times \sqrt{3} } \\ = {x}^{2} = \frac{3}{2} \\ x = + \sqrt{ \frac{3}{2} } \: or \: - \sqrt{ \frac{3}{2} }$

Hope it helps mAtE......