Question

If xtan45°cos60° = sin60°cot60° then x = ?
1
1/2
√3
1/√2​

Answer 1

Step-by-step explanation:

xtan45°cos60° = sin60°cot60°

Now,tan45° = 1

cos60° = 1/2

sin60° = √3/2

cot60° = 1/√3

Then,x(1)(1/2) = (√3/2)(1/√3)

$x = \frac{ \sqrt{3} }{2} \times \frac{1}{ \sqrt{3} } \times \frac{2}{1} = 1$

Hence the value of x = 1