Question

2sin45 cos45=1, how?

Answer 1

Heya !!

Here is your answer :

2 sin45 × cos 45
= 2 × 1/√2 × 1/√2
= 2 × 1/2
=1

Answer 2

$sin45 = \frac{1}{ \sqrt{2} } \\ \\ cos45 = \frac{1}{ \sqrt{2} }$

=================

$2 sin45 cos45 \\ \\ 2( \frac{1}{ \sqrt{2} })( \frac{1}{ \sqrt{2} }) \\ \\ 2( \frac{1}{ \sqrt{2} * \sqrt{2} } ) \\ \\ 2( \frac{1}{2}) \\ \\ 1$



Hence, proved. 



i hope this will help you


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