Question

If m tan30°cot 60° = sin 45°cos45°, then 'm' is:
a)1/2
b)3/2
c)1/3
d)3/4​

Answer 1

$❥{\huge{\underline{\small{\mathbb{\pink{YOUR CORRECT \ ANSWER \ }}}}}}$

: - Answer - ( b ) 3 / 2

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If m tan 30° cot 60° = sin 45°cos 45°, then 'm' is:

a) 1/2

b) 3/2

c) 1/3

d) 3/4

EVALUATION

Here the given equation is

m tan 30° cot 60° = sin 45°cos 45°

$\displaystyle \sf{ \implies m \times \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } = \frac{1}{ \sqrt{2} } \times \frac{1}{ \sqrt{2} } }$

$\displaystyle \sf{ \implies m \times \frac{1}{ \sqrt{3} \times \sqrt{3} } = \frac{1}{ \sqrt{2} \times \sqrt{2} } }$

$\displaystyle \sf{ \implies m \times \frac{1}{ 3} = \frac{1}{2 } }$

$\displaystyle \sf{ \implies \frac{m}{ 3} = \frac{1}{2 } }$

$\displaystyle \sf{ \implies m = \frac{3}{2 } }$

FINAL ANSWER

Hence the correct option is

$\displaystyle \sf{ b) \: \: \: \frac{3}{2 } }$

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