Question

If sin θ = 12/13 and cos ∅ = - 4/5, evaluate sin (θ-∅)

Answer 1

Okay okay..
You got \(\sin\theta\) and \(\cos\phi\), find out \(\cos\theta\) and \(\sin\phi\) using the identity \(\sin^2 x + \cos^2 x = 1\).

Can you do this?

Answer 2

and..
\[\sin(x-y) =sinx~cosy-cosx~siny\]\[\sin(\theta - \phi ) = \sin \theta~\cos \phi - \cos \theta ~\sin\]

Answer 3

ooops

Answer 4

After this, use the identity:
\[\sin(\theta - \phi) = \sin\theta\cos\phi - \cos\theta\sin\phi\]

Answer 5

\[\sin(x-y) =sinx~cosy-cosx~siny\]\[\sin(\theta - \phi ) = \sin \theta~\cos \phi - \cos \theta ~\sin \phi \]