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प्रश्न
If x tan 45° cos 60° = sin 60° cot 60°, then x is equal to
पर्याय
1
\[\sqrt{3}\]
\[\frac{1}{2}\]
\[\frac{1}{\sqrt{2}}\]
उत्तर
Given that: `x tan 45° cos 60°=sin 60° cot 60°`
Here we have to find the value of x
We know that ` tan 45°=1, cos 60°=1/2 , sin 60°=sqrt3/2,cot 60°=1/sqrt3`
⇒` x tan 45° cos 60°= sin 60° cot 60°`
⇒` x xx1xx1/2=sqrt3/2xx1/sqrt3`
⇒ `x=1`
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