Question

if A=30° then prove that : (sin A - cos A)^2 = 1 - sin 2 A​

Answer 1

Step-by-step explanation:

its yur solution dear...

Answer 2

Answer:

HOPE THIS BRING A SMILE IN YOUR FACE

Step-by-step explanation:

A=30°

sin A= sin30

=1/2

cos A=cos 30

=√3/2

To prove:(sin A- cos A)^2=1-sin 2A

LHS:(sin A-cos A)^2

=(1/2-√3/2)^2

=((1-√3)/2)^2

=(1+3-2√3)/4

=(4-2√3)/4

=2(2-√3)/4

=(2-√3)/2------♡

RHS=1- Sin 2A

=1-sin 2(30)

=1- sin 60

=1-√3/2

=(2-√3)/2---------☆

From ☆ and ♡

LHS = RHS