# How do you simplify the expression #(sin^3t+cos^3t)/(1-sintcost)#?

By signing up, you agree to our Terms of Service and Privacy Policy

To simplify the expression ( \frac{\sin^3 t + \cos^3 t}{1 - \sin t \cos t} ), use the trigonometric identity ( \sin^3 t + \cos^3 t = (\sin t + \cos t)(1 - \sin t \cos t) ).

Substitute this identity into the expression:

( \frac{(\sin t + \cos t)(1 - \sin t \cos t)}{1 - \sin t \cos t} )

Now, cancel out the common factor ( 1 - \sin t \cos t ):

( \sin t + \cos t )

So, the simplified expression is ( \sin t + \cos t ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7