Question

10. If sin (A - B) = sin A cos B - cos A sin B and cos
(A - B) = cos A cos B + sin A sin B, find the values of
sin 15° and cos 15°​

Answer 1

Step-by-step explanation:

take A as 45 and B as 30

therefore,

sin(45-30)=sin45cos30-cos45sin30

=√3/√2 - 1/√2

= (√3-1)/√2

cos(45-30)=cos45cos30-sin45sin30

=√3/√2 - 1/√2

=(√3-1)/√2