How do you differentiate trigonometry?

Trigonometric Function Differentiation

1. If f( x) = sin x, then f′( x) = cos x.
2. If f( x) = cos x, then f′( x) = −sin x.
3. If f( x) = tan x, then f′( x) = sec ² x.
4. If f( x) = cot x, then f′( x) = −csc ² x.
5. If f( x) = sec x, then f′( x) = sec x tan x.
6. If f( x) = csc x, then f′( x) = −csc x cot x.

How do you differentiate trigonometric ratios?

Video quote: So let's differentiate the outside part first what is the derivative of cosine the derivative of cosine is negative sine. And now the inside part is going to stay the same.

How do you differentiate sin and cos?

Video quote: So we have sine x on top cos x on the bottom to differentiate we go around clockwise. And from cos to sine we multiply by negative 1.

How do u differentiate?

Video quote: We have to multiply x by the power which is two. So we would write d y by dx which is the differential.

Why do we differentiate trigonometric functions?

In trigonometry, differentiation of trigonometric functions is a mathematical process of determining the rate of change of the trigonometric functions with respect to the variable angle. The differentiation of trigonometric functions can be done using the derivatives of sin x and cos x by applying the quotient rule.

What do you get when you differentiate cos?

-sin x

The derivative of the cosine function is written as (cos x)’ = -sin x, that is, the derivative of cos x is -sin x.