Question

Prove: sin^3 theta + cos^3 theta / sin theta + cos theta ) + sin theta.cos theta =1​

Answer 1

Answer:

1

Step-by-step explanation:

We have : Sin 3 θ + Cos 3 θ = ( Sin θ + Cos θ ) ( 1 - Sin θ Cos θ )

So, Sin3θ + Cos3 θsin θ + Cos θ + Sin θ Cos θ , Now we substitute given value and get

⇒(sin θ + Cos θ)(1 − Sin θ Cos θ)sin θ + Cos θ + Sin θ Cos θ

⇒( 1 - Sin θ Cos θ ) + Sin θ Cos θ

⇒ 1 - Sin θ Cos θ + Sin θ Cos θ

⇒ 1

HOPE It's HELPFULL