Question

If m dan 30° cot 60°= sin 45° cos 45°, then the value of m will be​

Answer 1

Answer:

m = 3/2

Step-by-step explanation:

m × 1/root3 × 1/root3 = 1/root2 × 1/root2

m × 1/3 = 1/2

m = 3/2

Answer 2

Answer:

The value of m will be​ 3/2

Step-by-step explanation:

Given

mtan30°.cot60°=sin45°.cos45°

To find the value of m

Solution:

mtan30°.cot60°=sin45°.cos45°

Placing the values of trigonometric ratios

$or, mx\frac{1}{\sqrt{3} } x \frac{1}{\sqrt{3} }=\frac{1}{\sqrt{2} } x \frac{1}{\sqrt{2} } \\\\or, \frac{m}{3}=\frac{1}{2}\\\\\\On cross multiplication\\\\\\mx2=1x3\\\\m=\frac{3}{2}$

Thus, the value of m is 3/2.

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