$\text{L.H.S}\\\\=\dfrac{\sin^4 A - \cos^4 A}{ \sin A + \cos A}\\\\\\=\dfrac{(\sin^2 A)^2-(\cos^2 A)^2}{\sin A + \cos A}\\\\\\=\dfrac{(\sin^2 A + \cos^2 A)(\sin^2 A-\cos^2 A)}{\sin A + \cos A}\\\\\\=\dfrac{1\cdot(\sin A+\cos A)(\sin A - \cos A)}{\sin A +\cos A}\\\\\\=\sin A - \cos A\\\\\\=\text{R.H.S}~~~ \\\\\text{Proved.}$

4 0

2 years ago

Read 2 more answers

I was wondering if someone would help me with some show your work questions...

adell [148]

Answer:

5/6

Step-by-step explanation:

to add fractions they need to have a common denominator

make 1/3 have a denominator of 18

1/3(6) = 6/18

9/18 + 6/18 = 15/18

15/18 can be simplified to 5/6

4 0

3 years ago