Question

If x tan 45o cos 60o = sin 60o cot 60o , then x is equal to

Answer 1

Answer:

x tan 45°cos 60°=sin 60°cot 60°

=> x.1.1/2=√3/2.1/√3

=> x/2=1/2

=> x=1

Answer 2

$\sf x \: \tan45 \degree \: \cos60° = \sin60° \: cot60°$

so ,

$\sf x (1)( \frac{1}{2} ) = \frac{ \cancel{ \sqrt{3}} }{2} \times \frac{1}{ \cancel{\sqrt{3} } } = \frac{1}{2}$

$\sf x( \cancel{ \frac{1}{2} }) = \cancel{\frac{1}{2} }$

then ,

$\huge \blue{\sf x = 1}$