Question

Verify
[cot²30°(sec30°-1)]/1+sin30°=(1-sin30°)/(1+sec30°)

Answer 1

Answer:

first we have to know trigonometry

cot 30°=√3

sec 30°=2

sin 30°=1/2

now put all the values

first in LHS

${ \sqrt{3} }^{2} \times 2 - 1 \div 1 + \frac{1}{2} \\ \frac{3}{ \frac{3}{2} } = \frac{6}{3} = 2$

Now RHS

$\frac{1 - \frac{1}{2} }{1 + 2} = \frac{ \frac{1}{2} }{3} = \frac{3}{2}$

here LHS € RHS