Question

If x tan 45° cos 60° = sin 30° cot 60°, then x =

(A)1 (B)√3 (C) 1/√2 (D) 1/√3​

Answer 1

Answer:

Option D is the correct✅ answer.

Answer 2

Step-by-step explanation:

$x \tan(45) \cos(60) = \sin(30) \cot(60) \\ x\times 1 \times \left(\frac{1}{2}\right)=\frac{1}{2}\times \left(\frac{\sqrt{3}}{3}\right) \\ x\times \left(\frac{1}{2}\right)=\frac{\sqrt{3}}{2\times 3} \\ x\times \left(\frac{1}{2}\right)=\frac{\sqrt{3}}{6} \\ 6x\times \left(\frac{1}{2}\right)=\sqrt{3} \\ 3x=\sqrt{3} \\ x = \frac{ \sqrt{3} }{3} = \frac{1}{ \sqrt{3} }$