# #(sin x)'=cos x, (cos x)'=-sin x, int sin x dx = -cos x + C, int cos x dx = sin x + C and e^(ix)=cos x + i sin x#. Are all these OK, if x is in degree mode?

correct.

Solution is correct.

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

No, those statements are not entirely accurate if ( x ) is in degree mode. The derivatives and integrals you provided are correct for trigonometric functions when ( x ) is in radian mode. However, if ( x ) is in degree mode, the derivatives and integrals need to be adjusted accordingly. Here are the correct versions:

- ( \frac{d}{dx}(\sin x) = \cos x ) holds true regardless of whether ( x ) is in degree or radian mode.
- ( \frac{d}{dx}(\cos x) = -\sin x ) holds true regardless of whether ( x ) is in degree or radian mode.
- ( \int \sin x , dx = -\cos x + C ) holds true regardless of whether ( x ) is in degree or radian mode.
- ( \int \cos x , dx = \sin x + C ) holds true regardless of whether ( x ) is in degree or radian mode.
- ( e^{ix} = \cos x + i \sin x ) holds true only when ( x ) is in radian mode. If ( x ) is in degree mode, you need to convert degrees to radians before using this formula.

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.

- How do you know if #f(s) = 4s^(3/2)# is an even or odd function?
- How do you find the inverse of #y = 13/x # and is it a function?
- How do you find the vertical, horizontal and slant asymptotes of: #f(x)=(x^4-x^2)/(x(x-1)(x+2))#?
- How do I find the domain of #f(x) = 1/(sqrt(3-2x))#?
- How do you find the asymptotes for #g(x) =( 3x^2)/(x^2 - 9)#?

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