Question

if x.tan45°.sin30°=cos30°.tan30°,then x is equal to(with step by step explanation):
a)√3
b)1/2
c)1/√2
d)1​

Answer 1

$\huge\mathfrak\green{Answer}$

Option d is the answer.

For understand see the above attachment.

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

if x.tan 45°.sin 30° = cos 30° . tan 30°,then x is equal to

a) √3

$\displaystyle \sf{ b) \: \: \frac{1}{2} }$

$\displaystyle \sf{ c) \: \: \frac{1}{ \sqrt{2} } }$

d) 1

EVALUATION

Here the given equation is

x.tan 45°.sin 30° = cos 30° . tan 30°

We find the value of x as below

$\displaystyle \sf{x.1. \frac{1}{2} = \frac{ \sqrt{3} }{2} . \frac{1}{ \sqrt{3} } }$

$\displaystyle \sf{ \implies \frac{x}{2} = \frac{ 1}{2} }$

$\displaystyle \sf{ \implies x= \frac{2}{2} }$

$\displaystyle \sf{ \implies x=1}$

FINAL ANSWER

Hence the correct option is d) 1

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