Question

sin 45°(tan 45°-cos60°) find the exact value​

Answer 1

Step-by-step explanation:

$\sin(45) = \frac{1}{ \sqrt{2} } \\ \tan(45) = 1 \\ \cos(60) = \frac{1}{2}$

putting these values in the question,we will get

$\frac{1}{ \sqrt{2} } (1 - \frac{1}{2} )$

$solving \: it \: \\ \frac{1}{ \sqrt{2} } ( \frac{1}{2} ) \\ = \frac{1}{2 \sqrt{2} }$